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131021122232331 = 334852634156753
BaseRepresentation
bin11101110010100110111011…
…011100101110000000001011
3122011220111102021122021212000
4131302212323130232000023
5114133122224242413311
61142354134515122043
736411651356365002
oct3562467334560013
9564814367567760
10131021122232331
1138824822871981
12128409308a3323
135815314891846
14244d655975c39
151023260354056
hex7729bb72e00b

131021122232331 has 8 divisors (see below), whose sum is σ = 194105366270160. Its totient is φ = 87347414821536.

The previous prime is 131021122232311. The next prime is 131021122232353. The reversal of 131021122232331 is 133232221120131.

131021122232331 is a `hidden beast` number, since 1 + 3 + 102 + 1 + 1 + 2 + 223 + 2 + 331 = 666.

It is not a de Polignac number, because 131021122232331 - 235 = 130986762493963 is a prime.

It is a super-2 number, since 2×1310211222323312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4852634156753 = 131021122232331 / (1 + 3 + 1 + 0 + 2 + 1 + 1 + 2 + 2 + 2 + 3 + 2 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 131021122232295 and 131021122232304.

It is not an unprimeable number, because it can be changed into a prime (131021122232311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2426317078350 + ... + 2426317078403.

It is an arithmetic number, because the mean of its divisors is an integer number (24263170783770).

Almost surely, 2131021122232331 is an apocalyptic number.

131021122232331 is a deficient number, since it is larger than the sum of its proper divisors (63084244037829).

131021122232331 is an equidigital number, since it uses as much as digits as its factorization.

131021122232331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852634156762 (or 4852634156756 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131021122232331 its reverse (133232221120131), we get a palindrome (264253343352462).

The spelling of 131021122232331 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 4852634156753 14557902470259 43673707410777 131021122232331