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130097997481 = 37329672
BaseRepresentation
bin111100100101001110…
…0011110011010101001
3110102210202100000220011
41321022130132122221
54112420041404411
6135433255331521
712253643506204
oct1711234363251
9412722300804
10130097997481
11501a0a23091
1221269680ba1
13c3642969ca
1464224d893b
1535b676ec21
hex1e4a71e6a9

130097997481 has 9 divisors (see below), whose sum is σ = 130582759671. Its totient is φ = 129615032232.

The previous prime is 130097997467. The next prime is 130097997539. The reversal of 130097997481 is 184799790031.

The square root of 130097997481 is 360691.

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

It can be written as a sum of positive squares in only one way, i.e., 70716105625 + 59381891856 = 265925^2 + 243684^2 .

It is not a de Polignac number, because 130097997481 - 27 = 130097997353 is a prime.

It is a super-2 number, since 2×1300979974812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130097997401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134537260 + ... + 134538226.

It is an arithmetic number, because the mean of its divisors is an integer number (14509195519).

Almost surely, 2130097997481 is an apocalyptic number.

130097997481 is the 360691-st square number.

130097997481 is the 180346-th centered octagonal number.

It is an amenable number.

130097997481 is a deficient number, since it is larger than the sum of its proper divisors (484762190).

130097997481 is an frugal number, since it uses more digits than its factorization.

130097997481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 130097997481 in words is "one hundred thirty billion, ninety-seven million, nine hundred ninety-seven thousand, four hundred eighty-one".

Divisors: 1 373 967 139129 360691 935089 134537743 348788197 130097997481