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130520031316116 = 223131773966597697
BaseRepresentation
bin11101101011010100010000…
…000110100100100010010100
3122010010121000101200021220020
4131223110100012210202110
5114101420011004103431
61141332024041505140
736330522023024511
oct3553242006444224
9563117011607806
10130520031316116
1138651264033a32
121277b7a64a21b0
1357a9ca8723920
1424332bb8da308
1510151d3a81696
hex76b5101a4894

130520031316116 has 96 divisors (see below), whose sum is σ = 347735884245120. Its totient is φ = 37746508529664.

The previous prime is 130520031316067. The next prime is 130520031316249. The reversal of 130520031316116 is 611613130025031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 31339021 + ... + 35258676.

It is an arithmetic number, because the mean of its divisors is an integer number (3622248794220).

Almost surely, 2130520031316116 is an apocalyptic number.

It is an amenable number.

130520031316116 is an abundant number, since it is smaller than the sum of its proper divisors (217215852929004).

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

130520031316116 is a wasteful number, since it uses less digits than its factorization.

130520031316116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66598473 (or 66598471 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 130520031316116 in words is "one hundred thirty trillion, five hundred twenty billion, thirty-one million, three hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 739 884 1326 1478 2217 2652 2956 4434 8868 9607 12563 19214 25126 28821 37689 38428 50252 57642 75378 115284 150756 163319 326638 489957 653276 979914 1959828 66597697 133195394 199793091 266390788 399586182 799172364 865770061 1132160849 1731540122 2264321698 2597310183 3396482547 3463080244 4528643396 5194620366 6792965094 10389240732 13585930188 14718091037 29436182074 44154273111 49215698083 58872364148 88308546222 98431396166 147647094249 176617092444 196862792332 295294188498 590588376996 639804075079 836666867411 1279608150158 1673333734822 1919412225237 2510000602233 2559216300316 3346667469644 3838824450474 5020001204466 7677648900948 10040002408932 10876669276343 21753338552686 32630007829029 43506677105372 65260015658058 130520031316116