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53112055021135 = 51117201128246811
BaseRepresentation
bin11000001001110000111010…
…01011000011111001001111
320222001110111102201101222221
430010320131023003321033
523430141442041134020
6304543201412520211
714121135143560015
oct1404703513037117
9228043442641887
1053112055021135
1115a17772481750
125b5957b920067
1323835a341cac6
14d188cc5c28b5
15621876acb6aa
hex304e1d2c3e4f

53112055021135 has 32 divisors (see below), whose sum is σ = 73655031124224. Its totient is φ = 36336696384000.

The previous prime is 53112055021111. The next prime is 53112055021141.

It is a happy number.

53112055021135 is nontrivially palindromic in base 10.

53112055021135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53112055021135 - 213 = 53112055012943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53112055021135.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12243121 + ... + 16003690.

It is an arithmetic number, because the mean of its divisors is an integer number (2301719722632).

Almost surely, 253112055021135 is an apocalyptic number.

53112055021135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53112055021135 is a deficient number, since it is larger than the sum of its proper divisors (20542976103089).

53112055021135 is a wasteful number, since it uses less digits than its factorization.

53112055021135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28248855.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 53112055021135 in words is "fifty-three trillion, one hundred twelve billion, fifty-five million, twenty-one thousand, one hundred thirty-five".

Divisors: 1 5 11 17 55 85 187 935 2011 10055 22121 34187 110605 170935 376057 1880285 28246811 141234055 310714921 480195787 1553574605 2400978935 5282153657 26410768285 56804336921 284021684605 624847706131 965673727657 3124238530655 4828368638285 10622411004227 53112055021135