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10032323120112 = 24323101326333407
BaseRepresentation
bin1001000111111101010100…
…0011100100101111110000
31022112002011211212212220010
42101333111003210233300
52303332144204320422
633200441405414520
72053545214340136
oct221772503445760
938462154785803
1010032323120112
11321875894a627
1211603b886a440
1357a0758cc0b7
142697d1d03756
15125e6c9a8b0c
hex91fd50e4bf0

10032323120112 has 160 divisors (see below), whose sum is σ = 27088579934208. Its totient is φ = 3193402820608.

The previous prime is 10032323120093. The next prime is 10032323120161. The reversal of 10032323120112 is 21102132323001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2944619113 + ... + 2944622519.

Almost surely, 210032323120112 is an apocalyptic number.

10032323120112 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 10032323120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544289967104).

10032323120112 is an abundant number, since it is smaller than the sum of its proper divisors (17056256814096).

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

10032323120112 is a wasteful number, since it uses less digits than its factorization.

10032323120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10032323120112 its reverse (21102132323001), we get a palindrome (31134455443113).

The spelling of 10032323120112 in words is "ten trillion, thirty-two billion, three hundred twenty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1013 1104 2026 2633 3039 3407 4052 5266 6078 6814 7899 8104 10221 10532 12156 13628 15798 16208 20442 21064 23299 24312 27256 31596 40884 42128 46598 48624 54512 60559 63192 69897 78361 81768 93196 121118 126384 139794 156722 163536 181677 186392 235083 242236 279588 313444 363354 372784 470166 484472 559176 626888 726708 940332 968944 1118352 1253776 1453416 1880664 2667229 2906832 3451291 3761328 5334458 6902582 8001687 8970631 10353873 10668916 13805164 16003374 17941262 20707746 21337832 26911893 27610328 32006748 35882524 41415492 42675664 53823786 55220656 61346267 64013496 71765048 79379693 82830984 107647572 122692534 128026992 143530096 158759386 165661968 184038801 206324513 215295144 238139079 245385068 317518772 368077602 412649026 430590288 476278158 490770136 618973539 635037544 736155204 825298052 952556316 981540272 1237947078 1270075088 1472310408 1650596104 1905112632 2475894156 2944620816 3301192208 3810225264 4951788312 9087249203 9903576624 18174498406 27261747609 36348996812 54523495218 72697993624 109046990436 145395987248 209006731669 218093980872 418013463338 436187961744 627020195007 836026926676 1254040390014 1672053853352 2508080780028 3344107706704 5016161560056 10032323120112