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121315455021345 = 351327710512136973
BaseRepresentation
bin11011100101010111110100…
…100110100011000100100001
3120220112122101122110220210120
4123211113310212203010201
5111400113022441140340
61110003314535150453
734360516032320034
oct3345276446430441
9526478348426716
10121315455021345
1135722660743712
12117338b8515429
13528ccc9407550
1421d59b104701b
15e05a602c14d0
hex6e55f49a3121

121315455021345 has 64 divisors (see below), whose sum is σ = 209990211696384. Its totient is φ = 59452270617600.

The previous prime is 121315455021307. The next prime is 121315455021359. The reversal of 121315455021345 is 543120554513121.

It is not a de Polignac number, because 121315455021345 - 29 = 121315455020833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121315455021297 and 121315455021306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 55701279 + ... + 57838251.

It is an arithmetic number, because the mean of its divisors is an integer number (3281097057756).

Almost surely, 2121315455021345 is an apocalyptic number.

121315455021345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121315455021345 is a deficient number, since it is larger than the sum of its proper divisors (88674756675039).

121315455021345 is a wasteful number, since it uses less digits than its factorization.

121315455021345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138322.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 121315455021345 in words is "one hundred twenty-one trillion, three hundred fifteen billion, four hundred fifty-five million, twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 195 277 831 1051 1385 3153 3601 4155 5255 10803 13663 15765 18005 40989 54015 68315 204945 291127 873381 1455635 2136973 3784651 4366905 6410919 10684865 11353953 18923255 27780649 32054595 56769765 83341947 138903245 416709735 591941521 1775824563 2245958623 2959707605 6737875869 7695239773 8879122815 11229793115 23085719319 29197462099 33689379345 38476198865 87592386297 115428596595 145987310495 437961931485 622130538571 1866391615713 3110652692855 8087697001423 9331958078565 24263091004269 40438485007115 121315455021345