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131382326089 = 725329772
BaseRepresentation
bin111101001011011111…
…1110011001101001001
3110120010021000200112101
41322112333303031021
54123032333413324
6140204535113401
712330530226400
oct1722677631511
9416107020471
10131382326089
115079a997193
1221567812861
13c50a3a5871
146504cda637
15363e3b6944
hex1e96ff3349

131382326089 has 27 divisors (see below), whose sum is σ = 155930142837. Its totient is φ = 110375551104.

The previous prime is 131382326083. The next prime is 131382326129. The reversal of 131382326089 is 980623283131.

The square root of 131382326089 is 362467.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62034370489 + 69347955600 = 249067^2 + 263340^2 .

It is not a de Polignac number, because 131382326089 - 217 = 131382195017 is a prime.

It is a super-2 number, since 2×1313823260892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131382326083) 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 26 ways as a sum of consecutive naturals, for example, 134474769 + ... + 134475745.

Almost surely, 2131382326089 is an apocalyptic number.

131382326089 is the 362467-th square number.

131382326089 is the 181234-th centered octagonal number.

It is an amenable number.

131382326089 is a deficient number, since it is larger than the sum of its proper divisors (24547816748).

131382326089 is an frugal number, since it uses more digits than its factorization.

131382326089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 131382326089 in words is "one hundred thirty-one billion, three hundred eighty-two million, three hundred twenty-six thousand, eighty-nine".

Divisors: 1 7 49 53 371 977 2597 2809 6839 19663 47873 51781 137641 362467 954529 2537269 2744393 6681703 19210751 46771921 50590037 134475257 354130259 2478911813 2681271961 18768903727 131382326089