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131487272904099 = 371715185914891907
BaseRepresentation
bin11101111001011001000100…
…001100011010010110100011
3122020120001122010100222002010
4131321121010030122112203
5114213241413330412344
61143352230321524003
736460433124620250
oct3571310414322643
9566501563328063
10131487272904099
1138994491763042
12128b71457a3603
13584a272ccb6c8
14246803741c427
15103044444b8b9
hex77964431a5a3

131487272904099 has 128 divisors (see below), whose sum is σ = 214056865382400. Its totient is φ = 70081857331200.

The previous prime is 131487272904079. The next prime is 131487272904131. The reversal of 131487272904099 is 990409272784131.

It is a Cunningham number, because it is equal to 114667902-1.

It is not a de Polignac number, because 131487272904099 - 25 = 131487272904067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131487272904049) 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, 68949801304 + ... + 68949803210.

It is an arithmetic number, because the mean of its divisors is an integer number (1672319260800).

Almost surely, 2131487272904099 is an apocalyptic number.

131487272904099 is a deficient number, since it is larger than the sum of its proper divisors (82569592478301).

131487272904099 is a wasteful number, since it uses less digits than its factorization.

131487272904099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433.

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 131487272904099 in words is "one hundred thirty-one trillion, four hundred eighty-seven billion, two hundred seventy-two million, nine hundred four thousand, ninety-nine".

Divisors: 1 3 7 17 21 51 119 151 357 453 859 1057 1489 1907 2567 2577 3171 4467 5721 6013 7701 10423 13349 14603 17969 18039 25313 31269 32419 40047 43809 53907 75939 97257 102221 129709 177191 224839 226933 287957 306663 389127 531573 674517 680799 863871 907963 1279051 1573873 1638113 2015699 2205053 2723889 2839523 3822263 3837153 4721619 4895269 4914339 6047097 6615159 8518569 8953357 11466789 11466791 14685807 15435371 19876661 21743867 26755841 26860071 27847921 34266883 34400373 46306113 48271891 59629983 65231601 80267523 83543763 102800649 144815673 152207069 193136701 194935447 247355063 337903237 428767973 456621207 579410103 584806341 742065189 1013709711 1286303919 1351956907 1731485441 2439150257 3001375811 3283323917 4055870721 4205036071 5194456323 7289055541 7317450771 9004127433 9849971751 12615108213 17074051799 21867166623 22983267419 29435252497 41465554369 51023388787 51222155397 68949802257 88305757491 124396663107 153070166361 290258880583 368311688807 870776641749 1104935066421 2578181821649 6261298709719 7734545464947 18783896129157 43829090968033 131487272904099