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2137984125 = 3535701291
BaseRepresentation
bin111111101101111…
…0000110001111101
312111222222211212020
41333123300301331
513334310443000
6552052230353
7103660364604
oct17733606175
95458884766
102137984125
119a7922132
124b800b3b9
13280c29c84
14163d36a3b
15c7a6bba0
hex7f6f0c7d

2137984125 has 16 divisors (see below), whose sum is σ = 3557606208. Its totient is φ = 1140258000.

The previous prime is 2137984109. The next prime is 2137984169. The reversal of 2137984125 is 5214897312.

It is not a de Polignac number, because 2137984125 - 24 = 2137984109 is a prime.

It is a super-2 number, since 2×21379841252 = 9141952237504031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2850271 + ... + 2851020.

It is an arithmetic number, because the mean of its divisors is an integer number (222350388).

Almost surely, 22137984125 is an apocalyptic number.

2137984125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2137984125 is a deficient number, since it is larger than the sum of its proper divisors (1419622083).

2137984125 is an equidigital number, since it uses as much as digits as its factorization.

2137984125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701309 (or 5701299 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 2137984125 is about 46238.3404222081. The cubic root of 2137984125 is about 1288.2539775781.

The spelling of 2137984125 in words is "two billion, one hundred thirty-seven million, nine hundred eighty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 5701291 17103873 28506455 85519365 142532275 427596825 712661375 2137984125