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131221032309 = 3215196557051
BaseRepresentation
bin111101000110101100…
…0100000110101110101
3110112201000112010001200
41322031120200311311
54122220041013214
6140140534043113
712323531241213
oct1721530406565
9415630463050
10131221032309
1150717940844
12215217a9499
13c4b2b51263
1464cb711cb3
153630155d09
hex1e8d620d75

131221032309 has 12 divisors (see below), whose sum is σ = 190796734752. Its totient is φ = 86901345000.

The previous prime is 131221032247. The next prime is 131221032311. The reversal of 131221032309 is 903230122131.

131221032309 is a `hidden beast` number, since 1 + 312 + 2 + 10 + 32 + 309 = 666.

It is not a de Polignac number, because 131221032309 - 28 = 131221032053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221032329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48277167 + ... + 48279884.

It is an arithmetic number, because the mean of its divisors is an integer number (15899727896).

Almost surely, 2131221032309 is an apocalyptic number.

It is an amenable number.

131221032309 is a deficient number, since it is larger than the sum of its proper divisors (59575702443).

131221032309 is a wasteful number, since it uses less digits than its factorization.

131221032309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96557208 (or 96557205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 131221032309 in words is "one hundred thirty-one billion, two hundred twenty-one million, thirty-two thousand, three hundred nine".

Divisors: 1 3 9 151 453 1359 96557051 289671153 869013459 14580114701 43740344103 131221032309