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10535431401131 = 7134167193218371
BaseRepresentation
bin1001100101001111100010…
…1001010110111010101011
31101022011210022212122002212
42121103320221112322223
52340103030414314011
634223524350115335
72135105545224350
oct231237051267253
941264708778085
1010535431401131
1133a206240560a
121221a067abb4b
135b56439b41c0
14285cbbc78627
151340b641e08b
hex994f8a56eab

10535431401131 has 64 divisors (see below), whose sum is σ = 13551111146496. Its totient is φ = 7969491763200.

The previous prime is 10535431401109. The next prime is 10535431401149. The reversal of 10535431401131 is 13110413453501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10535431401131 is a prime.

It is a super-2 number, since 2×105354314011312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535431401161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48136376 + ... + 48354746.

It is an arithmetic number, because the mean of its divisors is an integer number (211736111664).

Almost surely, 210535431401131 is an apocalyptic number.

10535431401131 is a deficient number, since it is larger than the sum of its proper divisors (3015679745365).

10535431401131 is a wasteful number, since it uses less digits than its factorization.

10535431401131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218692.

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 10535431401131 its reverse (13110413453501), we get a palindrome (23645844854632).

The spelling of 10535431401131 in words is "ten trillion, five hundred thirty-five billion, four hundred thirty-one million, four hundred one thousand, one hundred thirty-one".

Divisors: 1 7 13 41 67 91 193 287 469 533 871 1351 2509 2747 3731 6097 7913 12931 17563 19229 35711 55391 90517 102869 168103 218371 249977 530171 720083 1176721 1528597 2838823 3711197 6892223 8953211 14630857 19871761 42145603 48245561 62672477 102415999 116391743 190201141 295019221 547892839 599865137 814742201 1331407987 1727969723 2823755401 3835249873 4199055959 7798246781 12095788061 19766287807 22463606399 36708820213 54587727467 115773971441 157245244793 256961741491 810417800087 1505061628733 10535431401131