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130133013231 = 31323450732189
BaseRepresentation
bin111100100110010001…
…0000011001011101111
3110102220012020000110210
41321030202003023233
54113003022410411
6135440550033503
712254550235014
oct1711442031357
9412805200423
10130133013231
1150209769a21
1221279348893
13c36b6069a0
14642701170b
1535b9889ca6
hex1e4c8832ef

130133013231 has 32 divisors (see below), whose sum is σ = 195031226880. Its totient is φ = 76580659584.

The previous prime is 130133013217. The next prime is 130133013251. The reversal of 130133013231 is 132310331031.

It is not a de Polignac number, because 130133013231 - 26 = 130133013167 is a prime.

It is a super-2 number, since 2×1301330132312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130133013198 and 130133013207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133013251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4026685 + ... + 4058873.

It is an arithmetic number, because the mean of its divisors is an integer number (6094725840).

Almost surely, 2130133013231 is an apocalyptic number.

130133013231 is a deficient number, since it is larger than the sum of its proper divisors (64898213649).

130133013231 is a wasteful number, since it uses less digits than its factorization.

130133013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36735.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 130133013231 its reverse (132310331031), we get a palindrome (262443344262).

The spelling of 130133013231 in words is "one hundred thirty billion, one hundred thirty-three million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 13 23 39 69 299 897 4507 13521 32189 58591 96567 103661 175773 310983 418457 740347 1255371 1347593 2221041 4042779 9624511 28873533 145075823 435227469 1885985699 3336743929 5657957097 10010231787 43377671077 130133013231