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20139031125 = 325342312
BaseRepresentation
bin10010110000011000…
…010011101001010101
31220222112010210002200
4102300120103221111
5312221042444000
613130213155113
71312030640313
oct226030235125
956875123080
1020139031125
1185a4a5a184
123aa062ba99
131b8c435c85
14d909570b3
157cd080500
hex4b0613a55

20139031125 has 36 divisors (see below), whose sum is σ = 36312542604. Its totient is φ = 10738278000.

The previous prime is 20139031091. The next prime is 20139031139. The reversal of 20139031125 is 52113093102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 644448996 + 19494582129 = 25386^2 + 139623^2 .

It is not a de Polignac number, because 20139031125 - 26 = 20139031061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4757760 + ... + 4761990.

It is an arithmetic number, because the mean of its divisors is an integer number (1008681739).

Almost surely, 220139031125 is an apocalyptic number.

20139031125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20139031125 is a deficient number, since it is larger than the sum of its proper divisors (16173511479).

20139031125 is an frugal number, since it uses more digits than its factorization.

20139031125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Multiplying 20139031125 by its product of nonzero digits (1620), we get a square (32625230422500 = 57118502).

It can be divided in two parts, 2013903 and 1125, that added together give a triangular number (2015028 = T2007).

The spelling of 20139031125 in words is "twenty billion, one hundred thirty-nine million, thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 4231 12693 21155 38079 63465 105775 190395 317325 528875 951975 1586625 4759875 17901361 53704083 89506805 161112249 268520415 447534025 805561245 1342602075 2237670125 4027806225 6713010375 20139031125