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112302232210032 = 24319374217905143
BaseRepresentation
bin11001100010001101100110…
…101010001000101001110000
3112201121222200122121200022220
4121202031212222020221300
5104204424432421210112
61034502533330001040
732440366001441244
oct3142154652105160
9481558618550286
10112302232210032
1132868122407757
1210718b12416180
134a88093c62967
141da3658196424
15ceb38ad2e98c
hex662366a88a70

112302232210032 has 160 divisors (see below), whose sum is σ = 314381885176320. Its totient is φ = 34423415147520.

The previous prime is 112302232210001. The next prime is 112302232210081. The reversal of 112302232210032 is 230012232203211.

It is a super-2 number, since 2×1123022322100322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112302232209984 and 112302232210011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10253653 + ... + 18158795.

It is an arithmetic number, because the mean of its divisors is an integer number (1964886782352).

Almost surely, 2112302232210032 is an apocalyptic number.

112302232210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112302232210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157190942588160).

112302232210032 is an abundant number, since it is smaller than the sum of its proper divisors (202079652966288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112302232210032 is a wasteful number, since it uses less digits than its factorization.

112302232210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905631 (or 7905625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112302232210032 its reverse (230012232203211), we get a palindrome (342314464413243).

The spelling of 112302232210032 in words is "one hundred twelve trillion, three hundred two billion, two hundred thirty-two million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 421 444 456 592 703 842 888 912 1263 1406 1684 1776 2109 2526 2812 3368 4218 5052 5624 6736 7999 8436 10104 11248 15577 15998 16872 20208 23997 31154 31996 33744 46731 47994 62308 63992 93462 95988 124616 127984 186924 191976 249232 295963 373848 383952 591926 747696 887889 1183852 1775778 2367704 3551556 4735408 7103112 7905143 14206224 15810286 23715429 31620572 47430858 63241144 94861716 126482288 150197717 189723432 292490291 300395434 379446864 450593151 584980582 600790868 877470873 901186302 1169961164 1201581736 1754941746 1802372604 2339922328 2403163472 3328065203 3509883492 3604745208 4679844656 5557315529 6656130406 7019766984 7209490416 9984195609 11114631058 13312260812 14039533968 16671946587 19968391218 22229262116 26624521624 33343893174 39936782436 44458524232 53249043248 63233238857 66687786348 79873564872 88917048464 123138412511 126466477714 133375572696 159747129744 189699716571 246276825022 252932955428 266751145392 369415237533 379399433142 492553650044 505865910856 738830475066 758798866284 985107300088 1011731821712 1477660950132 1517597732568 1970214600176 2339629837709 2955321900264 3035195465136 4679259675418 5910643800528 7018889513127 9358519350836 14037779026254 18717038701672 28075558052508 37434077403344 56151116105016 112302232210032