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136102565201631 = 37192155911515789
BaseRepresentation
bin11110111100100011011001…
…000011010100011011011111
3122211220021111210001221000120
4132330203121003110123133
5120314401023142423011
61201244353313130023
740445041305100260
oct3674433103243337
9584807453057016
10136102565201631
113a403856962726
1213321709859913
135ac3555a025b2
142587583992967
1510b0517a75a06
hex7bc8d90d46df

136102565201631 has 48 divisors (see below), whose sum is σ = 219024798220800. Its totient is φ = 73632316977216.

The previous prime is 136102565201569. The next prime is 136102565201657.

It is a happy number.

136102565201631 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-136102565201631 is a prime.

It is a super-2 number, since 2×1361025652016312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136102565201831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6060885 + ... + 17576673.

It is an arithmetic number, because the mean of its divisors is an integer number (4563016629600).

Almost surely, 2136102565201631 is an apocalyptic number.

136102565201631 is a deficient number, since it is larger than the sum of its proper divisors (82922233019169).

136102565201631 is a wasteful number, since it uses less digits than its factorization.

136102565201631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517396 (or 11517377 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 136102565201631 in words is "one hundred thirty-six trillion, one hundred two billion, five hundred sixty-five million, two hundred one thousand, six hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 361 399 1083 1559 2527 4677 7581 10913 29621 32739 88863 207347 562799 622041 1688397 3939593 11515789 11818779 34547367 80610523 218799991 241831569 656399973 1531599937 4157199829 4594799811 12471599487 17953115051 29100398803 53859345153 87301196409 125671805357 341109185969 377015416071 1023327557907 2387764301783 6481074533411 7163292905349 19443223600233 45367521733877 136102565201631