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131897533329 = 36134512
BaseRepresentation
bin111101011010110110…
…1001010001110010001
3110121110011110221000000
41322311231022032101
54130111232031304
6140332021520213
712346354351332
oct1726555121621
9417404427000
10131897533329
1150a3479aaa1
1221690273069
13c590053713
1465534d0289
15366e735939
hex1eb5b4a391

131897533329 has 21 divisors (see below), whose sum is σ = 197770538329. Its totient is φ = 87925151700.

The previous prime is 131897533319. The next prime is 131897533333. The reversal of 131897533329 is 923335798131.

The square root of 131897533329 is 363177.

It is a perfect power (a square), and thus also a powerful number.

131897533329 is a `hidden beast` number, since 1 + 3 + 1 + 89 + 7 + 533 + 3 + 29 = 666.

It is not a de Polignac number, because 131897533329 - 235 = 97537794961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131897533319) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9799054 + ... + 9812504.

Almost surely, 2131897533329 is an apocalyptic number.

131897533329 is the 363177-th square number.

131897533329 is the 181589-th centered octagonal number.

It is an amenable number.

131897533329 is a deficient number, since it is larger than the sum of its proper divisors (65873005000).

131897533329 is an frugal number, since it uses more digits than its factorization.

131897533329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26920 (or 13454 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 131897533329 in words is "one hundred thirty-one billion, eight hundred ninety-seven million, five hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 13451 40353 121059 363177 1089531 3268593 9805779 180929401 542788203 1628364609 4885093827 14655281481 43965844443 131897533329