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131230100331 = 32111325556569
BaseRepresentation
bin111101000110111101…
…1000110101101101011
3110112201122120211001100
41322031323012231223
54122224401202311
6140141500252443
712324001306461
oct1721573065553
9415648524040
10131230100331
1150721a74780
1221524841123
13c4b49a7855
1464cc9d2831
153630d47a56
hex1e8dec6b6b

131230100331 has 12 divisors (see below), whose sum is σ = 206786824920. Its totient is φ = 79533394080.

The previous prime is 131230100303. The next prime is 131230100341. The reversal of 131230100331 is 133001032131.

It is a happy number.

131230100331 is a `hidden beast` number, since 1 + 3 + 1 + 230 + 100 + 331 = 666.

It is not a de Polignac number, because 131230100331 - 210 = 131230099307 is a prime.

It is a super-2 number, since 2×1312301003312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131230100341) 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 11 ways as a sum of consecutive naturals, for example, 662778186 + ... + 662778383.

It is an arithmetic number, because the mean of its divisors is an integer number (17232235410).

Almost surely, 2131230100331 is an apocalyptic number.

131230100331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131230100331 is a deficient number, since it is larger than the sum of its proper divisors (75556724589).

131230100331 is a wasteful number, since it uses less digits than its factorization.

131230100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325556586 (or 1325556583 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131230100331 its reverse (133001032131), we get a palindrome (264231132462).

The spelling of 131230100331 in words is "one hundred thirty-one billion, two hundred thirty million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 1325556569 3976669707 11930009121 14581122259 43743366777 131230100331