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631022106 = 2311131275791
BaseRepresentation
bin100101100111001…
…010001000011010
31121222101020121010
4211213022020122
52243020201411
6142340554350
721431412411
oct4547121032
91558336533
10631022106
112a4217280
121573b29b6
13a096ab80
145db40478
153a5e97a6
hex259ca21a

631022106 has 64 divisors (see below), whose sum is σ = 1494614016. Its totient is φ = 175089600.

The previous prime is 631022071. The next prime is 631022111. The reversal of 631022106 is 601220136.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106071 + ... + 111861.

It is an arithmetic number, because the mean of its divisors is an integer number (23353344).

Almost surely, 2631022106 is an apocalyptic number.

631022106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 631022106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747307008).

631022106 is an abundant number, since it is smaller than the sum of its proper divisors (863591910).

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

631022106 is a wasteful number, since it uses less digits than its factorization.

631022106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 631022106 is about 25120.1533832897. The cubic root of 631022106 is about 857.7252422489.

The spelling of 631022106 in words is "six hundred thirty-one million, twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 127 143 254 286 381 429 762 858 1397 1651 2794 3302 4191 4953 5791 8382 9906 11582 17373 18161 34746 36322 54483 63701 75283 108966 127402 150566 191103 225849 382206 451698 735457 828113 1470914 1656226 2206371 2484339 4412742 4968678 8090027 9560941 16180054 19121882 24270081 28682823 48540162 57365646 105170351 210340702 315511053 631022106