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53134122143135 = 51117158335898887
BaseRepresentation
bin11000001010011010000000…
…11110011100110110011111
320222010120110022220100112202
430011031000132130312133
523431022140232040020
6305001251223522115
714122546036164455
oct1405150036346637
9228116408810482
1053134122143135
1115a26066823060
125b618b9bb933b
1323856ac143647
14d199c32369d5
15622219067e75
hex30534079cd9f

53134122143135 has 32 divisors (see below), whose sum is σ = 73695534815232. Its totient is φ = 36346904097280.

The previous prime is 53134122143111. The next prime is 53134122143161.

It is a happy number.

53134122143135 is nontrivially palindromic in base 10.

53134122143135 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 53134122143135 - 28 = 53134122142879 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16469339 + ... + 19429548.

It is an arithmetic number, because the mean of its divisors is an integer number (2302985462976).

Almost surely, 253134122143135 is an apocalyptic number.

53134122143135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53134122143135 is a deficient number, since it is larger than the sum of its proper divisors (20561412672097).

53134122143135 is a wasteful number, since it uses less digits than its factorization.

53134122143135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35900503.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 5313412 and 2143135, that added together give a palindrome (7456547).

The spelling of 53134122143135 in words is "fifty-three trillion, one hundred thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, one hundred thirty-five".

Divisors: 1 5 11 17 55 85 187 935 1583 7915 17413 26911 87065 134555 296021 1480105 35898887 179494435 394887757 610281079 1974438785 3051405395 6713091869 33565459345 56827938121 284139690605 625107319331 966074948057 3125536596655 4830374740285 10626824428627 53134122143135