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31927284258051 = 37133161307201451
BaseRepresentation
bin1110100001001101001100…
…11011111101010100000011
311012001012220100001011222110
413100212212123331110003
513141044034232224201
6151523105241310403
76503445603315510
oct720464633752403
9135035810034873
1031927284258051
11a19a315691736
1236b787aa95403
1314a7964a20280
147c5408694307
153a577e0516d6
hex1d09a66fd503

31927284258051 has 128 divisors (see below), whose sum is σ = 55149551091712. Its totient is φ = 15978047040000.

The previous prime is 31927284258029. The next prime is 31927284258059. The reversal of 31927284258051 is 15085248272913.

It is not a de Polignac number, because 31927284258051 - 222 = 31927280063747 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31927284257982 and 31927284258000.

It is not an unprimeable number, because it can be changed into a prime (31927284258059) 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 127 ways as a sum of consecutive naturals, for example, 158385876 + ... + 158587326.

It is an arithmetic number, because the mean of its divisors is an integer number (430855867904).

Almost surely, 231927284258051 is an apocalyptic number.

31927284258051 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31927284258051 is a deficient number, since it is larger than the sum of its proper divisors (23222266833661).

31927284258051 is a wasteful number, since it uses less digits than its factorization.

31927284258051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201873.

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 31927284258051 in words is "thirty-one trillion, nine hundred twenty-seven billion, two hundred eighty-four million, two hundred fifty-eight thousand, fifty-one".

Divisors: 1 3 7 13 21 31 39 61 91 93 183 217 273 307 403 427 651 793 921 1209 1281 1891 2149 2379 2821 3991 5551 5673 6447 8463 9517 11973 13237 16653 18727 24583 27937 28551 39711 56181 66619 73749 83811 123721 131089 172081 199857 201451 243451 371163 393267 516243 580537 604353 730353 866047 1410157 1704157 1741611 2598141 2618863 4063759 4230471 5112471 6244981 7546981 7856589 12191277 12288511 18332041 18734943 22640943 36865533 43714867 52828867 54996123 61845457 81184753 86019577 131144601 158486601 159750643 185536371 243554259 258058731 380943841 432918199 479251929 568293271 803990941 1118254501 1142831523 1298754597 1704879813 1917209167 2411972823 2666606887 3354763503 3772572877 4952269933 5627936587 5751627501 7999820661 11317718631 13420464169 14856809799 16883809761 24923719171 26408010139 34665889531 40261392507 49043447401 74771157513 79224030417 103997668593 116949759187 147130342203 174466034197 343304131807 350849277561 523398102591 818648314309 1029912395421 1520346869431 2455944942927 4561040608293 10642428086017 31927284258051