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110131221032112 = 24371728368129597
BaseRepresentation
bin11001000010100111101100…
…010011101110110010110000
3112102221102221011001212220110
4121002213230103232302300
5103413342220041011422
61030121330125541320
732124501216060360
oct3102475423566260
9472842834055813
10110131221032112
1132100430180875
1210428203114840
13495b4391225a7
141d2a5456529a0
15caeb7486860c
hex6429ec4eecb0

110131221032112 has 160 divisors (see below), whose sum is σ = 345492276936192. Its totient is φ = 29510470766592.

The previous prime is 110131221032093. The next prime is 110131221032117. The reversal of 110131221032112 is 211230122131011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (110131221032117) by changing a digit.

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, 32448303 + ... + 35681294.

Almost surely, 2110131221032112 is an apocalyptic number.

110131221032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110131221032112 is an abundant number, since it is smaller than the sum of its proper divisors (235361055904080).

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

110131221032112 is a wasteful number, since it uses less digits than its factorization.

110131221032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68129915 (or 68129909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 110131221032112 its reverse (211230122131011), we get a palindrome (321361343163123).

The spelling of 110131221032112 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred twenty-one million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 283 336 357 408 476 566 714 816 849 952 1132 1428 1698 1904 1981 2264 2856 3396 3962 4528 4811 5712 5943 6792 7924 9622 11886 13584 14433 15848 19244 23772 28866 31696 33677 38488 47544 57732 67354 76976 95088 101031 115464 134708 202062 230928 269416 404124 538832 808248 1616496 68129597 136259194 204388791 272518388 408777582 476907179 545036776 817555164 953814358 1090073552 1158203149 1430721537 1635110328 1907628716 2316406298 2861443074 3270220656 3474609447 3815257432 4632812596 5722886148 6949218894 7630514864 8107422043 9265625192 11445772296 13898437788 16214844086 18531250384 19280675951 22891544592 24322266129 27796875576 32429688172 38561351902 48644532258 55593751152 57842027853 64859376344 77122703804 97289064516 115684055706 129718752688 134964731657 154245407608 194578129032 231368111412 269929463314 308490815216 327771491167 389156258064 404894194971 462736222824 539858926628 655542982334 809788389942 925472445648 983314473501 1079717853256 1311085964668 1619576779884 1966628947002 2159435706512 2294400438169 2622171929336 3239153559768 3933257894004 4588800876338 5244343858672 6478307119536 6883201314507 7866515788008 9177601752676 13766402629014 15733031576016 18355203505352 27532805258028 36710407010704 55065610516056 110131221032112