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31202130102 = 231113118730637
BaseRepresentation
bin11101000011110010…
…101011100010110110
32222112112022102212020
4131003302223202312
51002400221130402
622200053534010
72153134505223
oct350362534266
988475272766
1031202130102
1112261875190
126069644306
132c33453ca0
14171dd7094a
15c294358bc
hex743cab8b6

31202130102 has 64 divisors (see below), whose sum is σ = 73378255104. Its totient is φ = 8720231040.

The previous prime is 31202130053. The next prime is 31202130103. The reversal of 31202130102 is 20103120213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003128 + ... + 1033764.

It is an arithmetic number, because the mean of its divisors is an integer number (1146535236).

Almost surely, 231202130102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31202130102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689127552).

31202130102 is an abundant number, since it is smaller than the sum of its proper divisors (42176125002).

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

31202130102 is a wasteful number, since it uses less digits than its factorization.

31202130102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31853.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31202130102 its reverse (20103120213), we get a palindrome (51305250315).

The spelling of 31202130102 in words is "thirty-one billion, two hundred two million, one hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1187 2374 3561 7122 13057 15431 26114 30637 30862 39171 46293 61274 78342 91911 92586 169741 183822 337007 339482 398281 509223 674014 796562 1011021 1018446 1194843 2022042 2389686 4381091 8762182 13143273 26286546 36366119 72732238 109098357 218196714 400027309 472759547 800054618 945519094 1200081927 1418278641 2400163854 2836557282 5200355017 10400710034 15601065051 31202130102