Search a number
-
+
3131010312122 = 271129787721727
BaseRepresentation
bin101101100011111110110…
…000011110011110111010
3102002022200111021200202102
4231203332300132132322
5402244302114441442
610354211041103402
7442131232351610
oct55437660363672
912068614250672
103131010312122
11aa7943772300
12426989027b62
13199339b12554
14ab7826356b0
15566a1124232
hex2d8fec1e7ba

3131010312122 has 96 divisors (see below), whose sum is σ = 5967648390144. Its totient is φ = 1205865999360.

The previous prime is 3131010312109. The next prime is 3131010312127. The reversal of 3131010312122 is 2212130101313.

It is a happy number.

It is a super-2 number, since 2×31310103121222 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131010312094 and 3131010312103.

It is not an unprimeable number, because it can be changed into a prime (3131010312127) 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, 144096023 + ... + 144117749.

It is an arithmetic number, because the mean of its divisors is an integer number (62163004064).

Almost surely, 23131010312122 is an apocalyptic number.

3131010312122 is a deficient number, since it is larger than the sum of its proper divisors (2836638078022).

3131010312122 is a wasteful number, since it uses less digits than its factorization.

3131010312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3131010312122 its reverse (2212130101313), we get a palindrome (5343140413435).

The spelling of 3131010312122 in words is "three trillion, one hundred thirty-one billion, ten million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 97 121 154 194 242 679 847 877 1067 1358 1694 1754 2134 6139 7469 9647 11737 12278 14938 19294 21727 23474 43454 67529 82159 85069 106117 135058 152089 164318 170138 212234 238997 304178 477994 595483 742819 935759 1190966 1485638 1672979 1871518 2107519 2628967 3345958 4215038 5257934 6550313 10293349 13100626 14752633 18402769 19054579 20586698 23182709 29505266 36805538 38109158 46365418 72053443 133382053 144106886 162278963 209600369 255009799 266764106 324557926 419200738 510019598 1467202583 1785068593 1848294163 2305604059 2934405166 3570137186 3696588326 4611208118 12938059141 16139228413 20331235793 25876118282 32278456826 40662471586 142318650551 223643593723 284637301102 447287187446 1565505156061 3131010312122