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53124122142135 = 32511671601812819
BaseRepresentation
bin11000001010000111011000…
…11011011110010110110111
320222002121122102010200001100
430011003230123132112313
523430341200232022020
6304552515041101143
714122043161446552
oct1405035433362667
9228077572120040
1053124122142135
1115a218a5008320
125b5b9890277b3
1323847774558a5
14d193150b3699
15621d311a9a90
hex3050ec6de5b7

53124122142135 has 48 divisors (see below), whose sum is σ = 101952182367360. Its totient is φ = 25372715037120.

The previous prime is 53124122142037. The next prime is 53124122142163.

53124122142135 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 4 + 1 + 221 + 421 + 3 + 5 = 666.

53124122142135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53124122142135 - 223 = 53124113753527 is a prime.

It is a super-2 number, since 2×531241221421352 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53124122142135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800873245 + ... + 800939574.

It is an arithmetic number, because the mean of its divisors is an integer number (2124003799320).

Almost surely, 253124122142135 is an apocalyptic number.

53124122142135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53124122142135 is a deficient number, since it is larger than the sum of its proper divisors (48828060225225).

53124122142135 is a wasteful number, since it uses less digits than its factorization.

53124122142135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601812908 (or 1601812905 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 5312412 and 2142135, that added together give a palindrome (7454547).

The spelling of 53124122142135 in words is "fifty-three trillion, one hundred twenty-four billion, one hundred twenty-two million, one hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 67 99 165 201 335 495 603 737 1005 2211 3015 3685 6633 11055 33165 1601812819 4805438457 8009064095 14416315371 17619941009 24027192285 52859823027 72081576855 88099705045 107321458873 158579469081 264299115135 321964376619 536607294365 792897345405 965893129857 1180536047603 1609821883095 3541608142809 4829465649285 5902680238015 10624824428427 17708040714045 53124122142135