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131201321131395 = 32517419409319797
BaseRepresentation
bin11101110101001110110000…
…001000111101110110000011
3122012112201112122122211022200
4131311032300020331312003
5114144100301202201040
61143013015503004243
736430661021635524
oct3565166010756603
9565481478584280
10131201321131395
1138894193404949
121286b840b99683
135829301796238
14245826bd4884b
151027caa24a630
hex7753b023dd83

131201321131395 has 48 divisors (see below), whose sum is σ = 241367698484640. Its totient is φ = 65700739095552.

The previous prime is 131201321131343. The next prime is 131201321131421. The reversal of 131201321131395 is 593131123102131.

131201321131395 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 132 + 1 + 131 + 395 = 666.

It is not a de Polignac number, because 131201321131395 - 219 = 131201320607107 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204339364 + ... + 204980433.

It is an arithmetic number, because the mean of its divisors is an integer number (5028493718430).

Almost surely, 2131201321131395 is an apocalyptic number.

131201321131395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131201321131395 is a deficient number, since it is larger than the sum of its proper divisors (110166377353245).

131201321131395 is a wasteful number, since it uses less digits than its factorization.

131201321131395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409320244 (or 409320241 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 131201321131395 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 419 765 1257 2095 3771 6285 7123 18855 21369 35615 64107 106845 320535 409319797 1227959391 2046598985 3683878173 6139796955 6958436549 18419390865 20875309647 34792182745 62625928941 104376548235 171504994943 313129644705 514514984829 857524974715 1543544954487 2572574924145 2915584914031 7717724772435 8746754742093 14577924570155 26240264226279 43733773710465 131201321131395