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130131132332301 = 339161526107583
BaseRepresentation
bin11101100101101010000011…
…111010101011100100001101
3122001202102012100121222022000
4131211222003322223210031
5114024032024334113201
61140433230014542513
736260443525143252
oct3545520372534415
9561672170558260
10130131132332301
1138511337765381
1212718350b07a39
13577c40bc1b119
14241c547bc1429
15100a021a2cd86
hex765a83eab90d

130131132332301 has 16 divisors (see below), whose sum is σ = 192807907384320. Its totient is φ = 86744618120160.

The previous prime is 130131132332287. The next prime is 130131132332317. The reversal of 130131132332301 is 103233231131031.

130131132332301 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 1 + 1 + 323 + 32 + 301 = 666.

It is not a de Polignac number, because 130131132332301 - 217 = 130131132201229 is a prime.

It is a super-2 number, since 2×1301311323323012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131132332501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262806445 + ... + 263301138.

It is an arithmetic number, because the mean of its divisors is an integer number (12050494211520).

Almost surely, 2130131132332301 is an apocalyptic number.

It is an amenable number.

130131132332301 is a deficient number, since it is larger than the sum of its proper divisors (62676775052019).

130131132332301 is an equidigital number, since it uses as much as digits as its factorization.

130131132332301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526116753 (or 526116747 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130131132332301 its reverse (103233231131031), we get a palindrome (233364363463332).

The spelling of 130131132332301 in words is "one hundred thirty trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 27 9161 27483 82449 247347 526107583 1578322749 4734968247 14204904741 4819671567863 14459014703589 43377044110767 130131132332301