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121755742713 = 321137137331733
BaseRepresentation
bin111000101100100110…
…1010011000111111001
3102122021100220120201100
41301121031103013321
53443323432231323
6131533412042013
711540135510553
oct1613115230771
9378240816640
10121755742713
11476aaa40660
121b71b903309
13b634b7cb97
145c705bc4d3
1532791ba943
hex1c593531f9

121755742713 has 96 divisors (see below), whose sum is σ = 199352380032. Its totient is φ = 70960665600.

The previous prime is 121755742711. The next prime is 121755742733. The reversal of 121755742713 is 317247557121.

121755742713 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 5 + 574 + 2 + 71 + 3 = 666.

It is not a de Polignac number, because 121755742713 - 21 = 121755742711 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121755742711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166105695 + ... + 166106427.

It is an arithmetic number, because the mean of its divisors is an integer number (2076587292).

Almost surely, 2121755742713 is an apocalyptic number.

It is an amenable number.

121755742713 is a deficient number, since it is larger than the sum of its proper divisors (77596637319).

121755742713 is a wasteful number, since it uses less digits than its factorization.

121755742713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1252 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

It can be divided in two parts, 121755 and 742713, that added together give a palindrome (864468).

The spelling of 121755742713 in words is "one hundred twenty-one billion, seven hundred fifty-five million, seven hundred forty-two thousand, seven hundred thirteen".

Divisors: 1 3 9 11 33 37 99 111 137 331 333 407 411 733 993 1221 1233 1507 2199 2979 3641 3663 4521 5069 6597 8063 10923 12247 13563 15207 24189 27121 32769 36741 45347 45621 55759 72567 81363 100421 110223 134717 136041 167277 242623 244089 298331 301263 404151 408123 498817 501831 727869 894993 903789 1104631 1212453 1496451 1677839 2183607 2668853 2684979 3313893 3715577 4489353 5033517 8006559 8977051 9941679 11146731 15100551 18456229 24019677 26931153 33239351 33440193 40871347 55368687 80793459 98747561 99718053 122614041 166106061 296242683 299154159 365632861 367842123 888728049 1096898583 1229855987 3290695749 3689567961 11068703883 13528415857 40585247571 121755742713