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1331312131122 = 2312776912131873
BaseRepresentation
bin10011010111111000011…
…000101111110000110010
311201021100102122112010020
4103113320120233300302
5133303011401143442
62455332451144310
7165120104254401
oct23277030576062
94637312575106
101331312131122
11473673a99806
121960258a5096
139870828408c
1448615d91638
152496cd389ec
hex135f862fc32

1331312131122 has 64 divisors (see below), whose sum is σ = 2690730577920. Its totient is φ = 439106863104.

The previous prime is 1331312131031. The next prime is 1331312131139. The reversal of 1331312131122 is 2211312131331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1331312131092 and 1331312131101.

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, 710790378 + ... + 710792250.

It is an arithmetic number, because the mean of its divisors is an integer number (42042665280).

Almost surely, 21331312131122 is an apocalyptic number.

1331312131122 is an abundant number, since it is smaller than the sum of its proper divisors (1359418446798).

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

1331312131122 is a wasteful number, since it uses less digits than its factorization.

1331312131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987.

The product of its digits is 648, while the sum is 24.

Adding to 1331312131122 its reverse (2211312131331), we get a palindrome (3542624262453).

The spelling of 1331312131122 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 127 254 381 762 769 1213 1538 1873 2307 2426 3639 3746 4614 5619 7278 11238 97663 154051 195326 237871 292989 308102 462153 475742 585978 713613 924306 932797 1427226 1440337 1865594 2271949 2798391 2880674 4321011 4543898 5596782 6815847 8642022 13631694 118465219 182922799 236930438 288537523 355395657 365845598 548768397 577075046 710791314 865612569 1097536794 1731225138 1747128781 3494257562 5241386343 10482772686 221885355187 443770710374 665656065561 1331312131122