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121131001365 = 35118327193253
BaseRepresentation
bin111000011001111111…
…0000110011000010101
3102120122211100102200220
41300303332012120111
53441034014020430
6131351413424553
711515511344323
oct1606376063025
9376584312626
10121131001365
114740a3241a0
121b58663b159
13b565600a4a
145c11634d13
15323e412110
hex1c33f86615

121131001365 has 64 divisors (see below), whose sum is σ = 214120488960. Its totient is φ = 57983420160.

The previous prime is 121131001351. The next prime is 121131001373. The reversal of 121131001365 is 563100131121.

It is not a de Polignac number, because 121131001365 - 28 = 121131001109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37235079 + ... + 37238331.

It is an arithmetic number, because the mean of its divisors is an integer number (3345632640).

Almost surely, 2121131001365 is an apocalyptic number.

121131001365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121131001365 is a deficient number, since it is larger than the sum of its proper divisors (92989487595).

121131001365 is a wasteful number, since it uses less digits than its factorization.

121131001365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074.

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 121131001365 its reverse (563100131121), we get a palindrome (684231132486).

The spelling of 121131001365 in words is "one hundred twenty-one billion, one hundred thirty-one million, one thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 83 165 249 415 913 1245 2719 2739 3253 4565 8157 9759 13595 13695 16265 29909 35783 40785 48795 89727 107349 149545 178915 225677 269999 448635 536745 677031 809997 1128385 1349995 2482447 2969989 3385155 4049985 7447341 8844907 8909967 12412235 14849945 26534721 37236705 44224535 44549835 97293977 132673605 291881931 486469885 734127281 1459409655 2202381843 3670636405 8075400091 11011909215 24226200273 40377000455 121131001365