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130534152113144 = 231331371094277313
BaseRepresentation
bin11101101011100001011001…
…110001001000101111111000
3122010011221110111110002211202
4131223201121301020233320
5114102132420420110034
61141342321151313332
736331531655564123
oct3553413161105770
9563157414402752
10130534152113144
113865724a93881a
121278248751b848
1357ab419078420
142433c5b0593ba
15101575d5c647e
hex76b859c48bf8

130534152113144 has 64 divisors (see below), whose sum is σ = 279434654903040. Its totient is φ = 56727335854080.

The previous prime is 130534152113143. The next prime is 130534152113201. The reversal of 130534152113144 is 441311251435031.

It is a junction number, because it is equal to n+sod(n) for n = 130534152113098 and 130534152113107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130534152113143) 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, 547019369 + ... + 547257944.

It is an arithmetic number, because the mean of its divisors is an integer number (4366166482860).

Almost surely, 2130534152113144 is an apocalyptic number.

It is an amenable number.

130534152113144 is an abundant number, since it is smaller than the sum of its proper divisors (148900502789896).

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

130534152113144 is a wasteful number, since it uses less digits than its factorization.

130534152113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094277400 (or 1094277396 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 130534152113144 in words is "one hundred thirty trillion, five hundred thirty-four billion, one hundred fifty-two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 31 37 52 62 74 104 124 148 248 296 403 481 806 962 1147 1612 1924 2294 3224 3848 4588 9176 14911 29822 59644 119288 1094277313 2188554626 4377109252 8754218504 14225605069 28451210138 33922596703 40488260581 56902420276 67845193406 80976521162 113804840552 135690386812 161953042324 271380773624 323906084648 440993757139 526347387553 881987514278 1052694775106 1255136078011 1763975028556 2105389550212 2510272156022 3527950057112 4210779100424 5020544312044 10041088624088 16316769014143 32633538028286 65267076056572 130534152113144