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31131310122 = 23411172110151
BaseRepresentation
bin11100111111100100…
…100001100000101010
32222100121001102010000
4130333210201200222
51002224103410442
622145044003430
72151314525043
oct347744414052
988317042100
1031131310122
11122258a4080
126049990576
132c21889183
1417147b78ca
15c230e6d4c
hex73f92182a

31131310122 has 80 divisors (see below), whose sum is σ = 76150476864. Its totient is φ = 9427320000.

The previous prime is 31131310117. The next prime is 31131310193. The reversal of 31131310122 is 22101313113.

31131310122 is a `hidden beast` number, since 311 + 31 + 310 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31131310095 and 31131310104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3061747 + ... + 3071897.

Almost surely, 231131310122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31131310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38075238432).

31131310122 is an abundant number, since it is smaller than the sum of its proper divisors (45019166742).

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

31131310122 is a wasteful number, since it uses less digits than its factorization.

31131310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31131310122 its reverse (22101313113), we get a palindrome (53232623235).

The spelling of 31131310122 in words is "thirty-one billion, one hundred thirty-one million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1721 1782 3442 5163 10151 10326 15489 18931 20302 30453 30978 37862 46467 56793 60906 91359 92934 111661 113586 139401 170379 182718 223322 274077 278802 334983 340758 511137 548154 669966 822231 1004949 1022274 1533411 1644462 2009898 3014847 3066822 6029694 9044541 17469871 18089082 34939742 52409613 104819226 157228839 192168581 314457678 384337162 471686517 576505743 943373034 1153011486 1415059551 1729517229 2830119102 3459034458 5188551687 10377103374 15565655061 31131310122