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2131132032 = 2734205549
BaseRepresentation
bin111111100000110…
…0111111010000000
312111112002201120000
41333001213322000
513331032211112
6551245320000
7103545215631
oct17701477200
95445081500
102131132032
119a3a72047
124b5866000
1327c69b193
14163071888
15c71667dc
hex7f067e80

2131132032 has 80 divisors (see below), whose sum is σ = 6342245250. Its totient is φ = 710373888.

The previous prime is 2131132021. The next prime is 2131132043. The reversal of 2131132032 is 2302311312.

2131132032 is a `hidden beast` number, since 2 + 1 + 311 + 320 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2131132021) and next prime (2131132043).

It can be written as a sum of positive squares in only one way, i.e., 2103506496 + 27625536 = 45864^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131131996 and 2131132014.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92407 + ... + 113142.

Almost surely, 22131132032 is an apocalyptic number.

It is an amenable number.

2131132032 is an abundant number, since it is smaller than the sum of its proper divisors (4211113218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131132032 is an equidigital number, since it uses as much as digits as its factorization.

2131132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205575 (or 205554 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131132032 is about 46164.1855987951. The cubic root of 2131132032 is about 1286.8762493691.

Adding to 2131132032 its reverse (2302311312), we get a palindrome (4433443344).

The spelling of 2131132032 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 205549 411098 616647 822196 1233294 1644392 1849941 2466588 3288784 3699882 4933176 5549823 6577568 7399764 9866352 11099646 13155136 14799528 16649469 19732704 22199292 26310272 29599056 33298938 39465408 44398584 59198112 66597876 78930816 88797168 118396224 133195752 177594336 236792448 266391504 355188672 532783008 710377344 1065566016 2131132032