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1031131122112 = 2673133613237
BaseRepresentation
bin11110000000101000011…
…01000100100111000000
310122120112022010021200201
433000110031010213000
5113343224031401422
62105410050254544
7134332250632000
oct17002415044700
93576468107621
101031131122112
11368333700793
12147a0b887454
1376309aba260
1437c9abb2000
151bc4e822727
hexf0143449c0

1031131122112 has 112 divisors (see below), whose sum is σ = 2569734865600. Its totient is φ = 407919891456.

The previous prime is 1031131122037. The next prime is 1031131122127. The reversal of 1031131122112 is 2112211311301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1031131122112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521243 + ... + 2091994.

It is an arithmetic number, because the mean of its divisors is an integer number (22944061300).

Almost surely, 21031131122112 is an apocalyptic number.

It is an amenable number.

1031131122112 is an abundant number, since it is smaller than the sum of its proper divisors (1538603743488).

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

1031131122112 is an equidigital number, since it uses as much as digits as its factorization.

1031131122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613283 (or 3613259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1031131122112 its reverse (2112211311301), we get a palindrome (3143342433413).

The spelling of 1031131122112 in words is "one trillion, thirty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 343 364 392 416 448 637 686 728 784 832 1274 1372 1456 1568 2548 2744 2912 3136 4459 5096 5488 5824 8918 10192 10976 17836 20384 21952 35672 40768 71344 142688 285376 3613237 7226474 14452948 25292659 28905896 46972081 50585318 57811792 93944162 101170636 115623584 177048613 187888324 202341272 231247168 328804567 354097226 375776648 404682544 657609134 708194452 751553296 809365088 1239340291 1315218268 1416388904 1503106592 1618730176 2301631969 2478680582 2630436536 2832777808 3006213184 4603263938 4957361164 5260873072 5665555616 9206527876 9914722328 10521746144 11331111232 16111423783 18413055752 19829444656 21043492288 32222847566 36826111504 39658889312 64445695132 73652223008 79317778624 128891390264 147304446016 257782780528 515565561056 1031131122112