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121014104031 = 3329596142943
BaseRepresentation
bin111000010110100000…
…0001010111111011111
3102120100200101102201000
41300231000022333133
53440314102312111
6131332040121343
711512561624632
oct1605500127737
9376320342630
10121014104031
114735a341527
121b553466253
13b547322122
145bddcc5c19
153234020c56
hex1c2d00afdf

121014104031 has 64 divisors (see below), whose sum is σ = 191702016000. Its totient is φ = 75316832640.

The previous prime is 121014104023. The next prime is 121014104077. The reversal of 121014104031 is 130401410121.

121014104031 is a `hidden beast` number, since 1 + 210 + 1 + 410 + 40 + 3 + 1 = 666.

It is not a de Polignac number, because 121014104031 - 23 = 121014104023 is a prime.

It is a super-2 number, since 2×1210141040312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121014103995 and 121014104013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121014104531) 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, 2796546 + ... + 2839488.

It is an arithmetic number, because the mean of its divisors is an integer number (2995344000).

Almost surely, 2121014104031 is an apocalyptic number.

121014104031 is a deficient number, since it is larger than the sum of its proper divisors (70687911969).

121014104031 is a wasteful number, since it uses less digits than its factorization.

121014104031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43101 (or 43095 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121014104031 its reverse (130401410121), we get a palindrome (251415514152).

The spelling of 121014104031 in words is "one hundred twenty-one billion, fourteen million, one hundred four thousand, thirty-one".

Divisors: 1 3 9 27 29 59 61 87 177 183 261 531 549 783 1593 1647 1711 1769 3599 5133 5307 10797 15399 15921 32391 42943 46197 47763 97173 104371 128829 313113 386487 939339 1159461 1245347 2533637 2619523 2818017 3736041 7600911 7858569 11208123 22802733 23575707 33624369 68408199 70727121 73475473 75966167 154551857 220426419 227898501 463655571 661279257 683695503 1390966713 1983837771 2051086509 4172900139 4482003853 13446011559 40338034677 121014104031