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131344234304130 = 23257561671929971
BaseRepresentation
bin11101110111010011110110…
…011011011101001010000010
3122020001101102112000012210100
4131313103312123131022002
5114203420442440213010
61143202412552143230
736444210365601021
oct3567236633351202
9566041375005710
10131344234304130
1138939860144861
1212893486397b16
135839928a5b983
14246114841a8b8
15102b871aae2c0
hex7774f66dd282

131344234304130 has 48 divisors (see below), whose sum is σ = 341495637747264. Its totient is φ = 35025064680480.

The previous prime is 131344234304111. The next prime is 131344234304149. The reversal of 131344234304130 is 31403432443131.

131344234304130 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 4 + 234 + 3 + 0 + 413 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131344234304111) and next prime (131344234304149).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67090045 + ... + 69020015.

It is an arithmetic number, because the mean of its divisors is an integer number (7114492453068).

Almost surely, 2131344234304130 is an apocalyptic number.

131344234304130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131344234304130 is an abundant number, since it is smaller than the sum of its proper divisors (210151403443134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131344234304130 is a wasteful number, since it uses less digits than its factorization.

131344234304130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686151 (or 2686148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131344234304130 its reverse (31403432443131), we get a palindrome (162747666747261).

The spelling of 131344234304130 in words is "one hundred thirty-one trillion, three hundred forty-four billion, two hundred thirty-four million, three hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 756167 1512334 1929971 2268501 3780835 3859942 4537002 5789913 6805503 7561670 9649855 11342505 11579826 13611006 17369739 19299710 22685010 28949565 34027515 34739478 57899130 68055030 86848695 173697390 1459380381157 2918760762314 4378141143471 7296901905785 8756282286942 13134423430413 14593803811570 21890705717355 26268846860826 43781411434710 65672117152065 131344234304130