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3131212102122 = 2313239771786469
BaseRepresentation
bin101101100100001010110…
…010001111100111101010
3102002100012112222200121010
4231210022302033213222
5402300210244231442
610354243050124350
7442136232502626
oct55441262174752
912070175880533
103131212102122
11aa7a376680a5
12426a247206b6
1319936c875510
14ab7a1362186
15566b3bd3b9c
hex2d90ac8f9ea

3131212102122 has 64 divisors (see below), whose sum is σ = 7044580005120. Its totient is φ = 920616981504.

The previous prime is 3131212102061. The next prime is 3131212102147. The reversal of 3131212102122 is 2212012121313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859504 + ... + 2645972.

It is an arithmetic number, because the mean of its divisors is an integer number (110071562580).

Almost surely, 23131212102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131212102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522290002560).

3131212102122 is an abundant number, since it is smaller than the sum of its proper divisors (3913367902998).

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

3131212102122 is a wasteful number, since it uses less digits than its factorization.

3131212102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787487.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3131212102122 its reverse (2212012121313), we get a palindrome (5343224223435).

The spelling of 3131212102122 in words is "three trillion, one hundred thirty-one billion, two hundred twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 977 1794 1954 2931 5862 12701 22471 25402 38103 44942 67413 76206 134826 292123 584246 876369 1752738 1786469 3572938 5359407 10718814 23224097 41088787 46448194 69672291 82177574 123266361 139344582 246532722 534154231 1068308462 1602462693 1745380213 3204925386 3490760426 5236140639 10472281278 22689942769 40143744899 45379885538 68069828307 80287489798 120431234697 136139656614 240862469394 521868683687 1043737367374 1565606051061 3131212102122