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131003032221 = 32103314090893
BaseRepresentation
bin111101000000001100…
…0111010001010011101
3110112010211022120011100
41322000120322022131
54121243234012341
6140103145343313
712315243254355
oct1720030721235
9415124276140
10131003032221
1150615884086
1221480797b39
13c479933c19
1464aa7a5b65
15361ae433b6
hex1e8063a29d

131003032221 has 12 divisors (see below), whose sum is σ = 189409797148. Its totient is φ = 87250803264.

The previous prime is 131003032201. The next prime is 131003032271. The reversal of 131003032221 is 122230300131.

131003032221 is a `hidden beast` number, since 1 + 310 + 0 + 30 + 322 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100162755225 + 30840276996 = 316485^2 + 175614^2 .

It is not a de Polignac number, because 131003032221 - 234 = 113823163037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131003032194 and 131003032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003032201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7036150 + ... + 7054743.

Almost surely, 2131003032221 is an apocalyptic number.

It is an amenable number.

131003032221 is a deficient number, since it is larger than the sum of its proper divisors (58406764927).

131003032221 is a wasteful number, since it uses less digits than its factorization.

131003032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14091932 (or 14091929 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131003032221 its reverse (122230300131), we get a palindrome (253233332352).

The spelling of 131003032221 in words is "one hundred thirty-one billion, three million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 1033 3099 9297 14090893 42272679 126818037 14555892469 43667677407 131003032221