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1120013244432 = 243373106933223
BaseRepresentation
bin10000010011000101111…
…111011101100000010000
310222001221122111220221000
4100103011333131200100
5121322241342310212
62214305454502000
7143626654332645
oct20230577354020
93861848456830
101120013244432
113a1aa4306825
12161096204900
138180313c444
143c2cd439dcc
151e2029861dc
hex104c5fdd810

1120013244432 has 160 divisors (see below), whose sum is σ = 3262038636800. Its totient is φ = 367868003328.

The previous prime is 1120013244409. The next prime is 1120013244461. The reversal of 1120013244432 is 2344423100211.

1120013244432 is a `hidden beast` number, since 1 + 1 + 200 + 1 + 3 + 24 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1120013244396 and 1120013244405.

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, 33695373 + ... + 33728595.

It is an arithmetic number, because the mean of its divisors is an integer number (20387741480).

Almost surely, 21120013244432 is an apocalyptic number.

1120013244432 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 1120013244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631019318400).

1120013244432 is an abundant number, since it is smaller than the sum of its proper divisors (2142025392368).

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

1120013244432 is a wasteful number, since it uses less digits than its factorization.

1120013244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34382 (or 34370 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1120013244432 its reverse (2344423100211), we get a palindrome (3464436344643).

The spelling of 1120013244432 in words is "one trillion, one hundred twenty billion, thirteen million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1069 1168 1314 1752 1971 2138 2628 3207 3504 3942 4276 5256 6414 7884 8552 9621 10512 12828 15768 17104 19242 25656 28863 31536 33223 38484 51312 57726 66446 76968 78037 99669 115452 132892 153936 156074 199338 230904 234111 265784 299007 312148 398676 461808 468222 531568 598014 624296 702333 797352 897021 936444 1196028 1248592 1404666 1594704 1794042 1872888 2106999 2392056 2425279 2809332 3588084 3745776 4213998 4784112 4850558 5618664 7176168 7275837 8427996 9701116 11237328 14352336 14551674 16855992 19402232 21827511 29103348 33711984 35515387 38804464 43655022 58206696 65482533 71030774 87310044 106546161 116413392 130965066 142061548 174620088 213092322 261930132 284123096 319638483 349240176 426184644 523860264 568246192 639276966 852369288 958915449 1047720528 1278553932 1704738576 1917830898 2557107864 2592623251 3835661796 5114215728 5185246502 7671323592 7777869753 10370493004 15342647184 15555739506 20740986008 23333609259 31111479012 41481972016 46667218518 62222958024 70000827777 93334437036 124445916048 140001655554 186668874072 280003311108 373337748144 560006622216 1120013244432