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51106055120001 = 32737217319317747
BaseRepresentation
bin10111001111011000011100…
…10000101110010010000001
320200221200122211222222222100
423213230032100232102001
523144310200102320001
6300405444141101013
713523201455004550
oct1347541620562201
9220850584888870
1051106055120001
1115313a57868392
125894842557769
132269384b2599b
14c89790d4bd97
155d95bbed5586
hex2e7b0e42e481

51106055120001 has 144 divisors (see below), whose sum is σ = 87665322536064. Its totient is φ = 28101977284608.

The previous prime is 51106055119993. The next prime is 51106055120017. The reversal of 51106055120001 is 10002155060115.

51106055120001 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 605 + 51 + 2 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 51106055120001 - 23 = 51106055119993 is a prime.

It is a super-2 number, since 2×511060551200012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51106055120101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2879692210 + ... + 2879709956.

It is an arithmetic number, because the mean of its divisors is an integer number (608786962056).

Almost surely, 251106055120001 is an apocalyptic number.

It is an amenable number.

51106055120001 is a deficient number, since it is larger than the sum of its proper divisors (36559267416063).

51106055120001 is a wasteful number, since it uses less digits than its factorization.

51106055120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18200 (or 18160 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 51106055120001 in words is "fifty-one trillion, one hundred six billion, fifty-five million, one hundred twenty thousand, one".

Divisors: 1 3 7 9 21 37 63 111 173 193 259 333 519 579 777 1211 1351 1369 1557 1737 2331 3633 4053 4107 6401 7141 9583 10899 12159 12321 17747 19203 21423 28749 33389 44807 49987 53241 57609 64269 86247 100167 124229 134421 149961 159723 233723 236837 264217 300501 372687 403263 449883 656639 701169 710511 792651 1118061 1235393 1657859 1849519 1969917 2103507 2131533 2377953 3070231 3425171 3706179 4596473 4973577 5548557 5909751 8647751 9210693 10275513 11118537 13789419 14920731 16645671 21491617 23976197 24295643 25943253 27632079 30826539 41368257 45709541 64474851 71928591 72886929 77829759 113598547 126731327 137128623 170069501 193424553 215785773 218660787 319966787 340795641 380193981 411385869 510208503 592554583 795189829 887119289 959900361 1022386923 1140581943 1530625509 1777663749 2385569487 2661357867 2879701083 4147882081 4203146239 4689059099 5332991247 7156708461 7984073601 12443646243 12609438717 14067177297 21924519571 29422023673 32823413693 37330938729 37828316151 42201531891 65773558713 88266071019 98470241079 153471636997 197320676139 264798213057 295410723237 460414910991 811207224127 1381244732973 2433621672381 5678450568889 7300865017143 17035351706667 51106055120001