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130334023314 = 232112943527869
BaseRepresentation
bin111100101100010000…
…0110101111010010010
3110110102012110101110200
41321120200311322102
54113411002221224
6135512530240030
712262540630155
oct1713040657222
9413365411420
10130334023314
1150302181860
1221314726016
13c3a1155971
1464459b7c9c
1535cc3435c9
hex1e58835e92

130334023314 has 96 divisors (see below), whose sum is σ = 326096971200. Its totient is φ = 37246366080.

The previous prime is 130334023291. The next prime is 130334023331. The reversal of 130334023314 is 413320433031.

130334023314 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 340 + 2 + 3 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17029 + ... + 510840.

It is an arithmetic number, because the mean of its divisors is an integer number (3396843450).

Almost surely, 2130334023314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130334023314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163048485600).

130334023314 is an abundant number, since it is smaller than the sum of its proper divisors (195762947886).

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

130334023314 is a wasteful number, since it uses less digits than its factorization.

130334023314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527960 (or 527957 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130334023314 its reverse (413320433031), we get a palindrome (543654456345).

The spelling of 130334023314 in words is "one hundred thirty billion, three hundred thirty-four million, twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 43 58 66 86 87 99 129 174 198 258 261 319 387 473 522 638 774 946 957 1247 1419 1914 2494 2838 2871 3741 4257 5742 7482 8514 11223 13717 22446 27434 41151 82302 123453 246906 527869 1055738 1583607 3167214 4750821 5806559 9501642 11613118 15308201 17419677 22698367 30616402 34839354 45396734 45924603 52259031 68095101 91849206 104518062 136190202 137773809 168390211 204285303 249682037 275547618 336780422 408570606 499364074 505170633 658252643 749046111 1010341266 1316505286 1498092222 1515511899 1974757929 2247138333 3031023798 3949515858 4494276666 5924273787 7240779073 11848547574 14481558146 21722337219 43444674438 65167011657 130334023314