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1231313312322 = 232591318850601
BaseRepresentation
bin10001111010101111111…
…111100001101001000010
311100201020100020012011200
4101322233333201221002
5130133212201443242
62341354005322030
7154650043315542
oct21725777415102
94321210205150
101231313312322
114352192a0105
1217a778406316
138c15ca99192
144384b15b322
1522068c8404c
hex11eaffe1a42

1231313312322 has 48 divisors (see below), whose sum is σ = 2733773945760. Its totient is φ = 400401144000.

The previous prime is 1231313312249. The next prime is 1231313312323. The reversal of 1231313312322 is 2232133131321.

1231313312322 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 1 + 331 + 2 + 322 = 666.

It is a super-2 number, since 2×12313133123222 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1231313312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4286179 + ... + 4564422.

It is an arithmetic number, because the mean of its divisors is an integer number (56953623870).

Almost surely, 21231313312322 is an apocalyptic number.

1231313312322 is an abundant number, since it is smaller than the sum of its proper divisors (1502460633438).

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

1231313312322 is a wasteful number, since it uses less digits than its factorization.

1231313312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850799 (or 8850796 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1231313312322 its reverse (2232133131321), we get a palindrome (3463446443643).

The spelling of 1231313312322 in words is "one trillion, two hundred thirty-one billion, three hundred thirteen million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 118 131 177 262 354 393 531 786 1062 1179 2358 7729 15458 23187 46374 69561 139122 8850601 17701202 26551803 53103606 79655409 159310818 522185459 1044370918 1159428731 1566556377 2318857462 3133112754 3478286193 4699669131 6956572386 9399338262 10434858579 20869717158 68406295129 136812590258 205218885387 410437770774 615656656161 1231313312322