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2116688931 = 327531913319
BaseRepresentation
bin111111000101010…
…0001110000100011
312110111220221100100
41332022201300203
513313333021211
6550011553443
7103311362520
oct17612416043
95414827310
102116688931
119968a77a5
124b0a5b883
132796b2176
14161192147
15c5c62156
hex7e2a1c23

2116688931 has 48 divisors (see below), whose sum is σ = 3579863040. Its totient is φ = 1180146240.

The previous prime is 2116688929. The next prime is 2116688941. The reversal of 2116688931 is 1398866112.

It is not a de Polignac number, because 2116688931 - 21 = 2116688929 is a prime.

It is a super-2 number, since 2×21166889312 = 8960744061235845522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2116688941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636090 + ... + 639408.

It is an arithmetic number, because the mean of its divisors is an integer number (74580480).

Almost surely, 22116688931 is an apocalyptic number.

2116688931 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2116688931 is a deficient number, since it is larger than the sum of its proper divisors (1463174109).

2116688931 is a wasteful number, since it uses less digits than its factorization.

2116688931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3573 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 2116688931 is about 46007.4877710140. The cubic root of 2116688931 is about 1283.9625192862.

The spelling of 2116688931 in words is "two billion, one hundred sixteen million, six hundred eighty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 53 63 159 191 371 477 573 1113 1337 1719 3319 3339 4011 9957 10123 12033 23233 29871 30369 69699 70861 91107 175907 209097 212583 527721 633929 637749 1231349 1583163 1901787 3694047 4437503 5705361 11082141 13312509 33598237 39937527 100794711 235187659 302384133 705562977 2116688931