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131103323231130 = 23352340981163647
BaseRepresentation
bin11101110011110011011111…
…000000101001001110011010
3122012012100121000022200121000
4131303303133000221032122
5114140444101221344010
61142500011335525430
736420621365345505
oct3563633700511632
9565170530280530
10131103323231130
113885667511aa28
1212854851829876
13581ccb49b77c3
142453612b6c13c
151025471b8a7c0
hex773cdf02939a

131103323231130 has 256 divisors, whose sum is σ = 366157880524800. Its totient is φ = 33317428446720.

The previous prime is 131103323231117. The next prime is 131103323231141. The reversal of 131103323231130 is 31132323301131.

131103323231130 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 332 + 323 + 1 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×1311033232311302 (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).

It is a junction number, because it is equal to n+sod(n) for n = 131103323231094 and 131103323231103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2059818967 + ... + 2059882613.

It is an arithmetic number, because the mean of its divisors is an integer number (1430304220800).

Almost surely, 2131103323231130 is an apocalyptic number.

131103323231130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131103323231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183078940262400).

131103323231130 is an abundant number, since it is smaller than the sum of its proper divisors (235054557293670).

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

131103323231130 is a wasteful number, since it uses less digits than its factorization.

131103323231130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64906 (or 64900 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131103323231130 its reverse (31132323301131), we get a palindrome (162235646532261).

The spelling of 131103323231130 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred twenty-three million, two hundred thirty-one thousand, one hundred thirty".