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130216362552 = 233210945736307
BaseRepresentation
bin111100101000110000…
…0000000001000111000
3110110010000001121020200
41321101200000020320
54113140342100202
6135453124322200
712256611550653
oct1712140001070
9413100047220
10130216362552
1150251818561
12212a1243360
13c38296a703
14643410a89a
1535c1d50e1c
hex1e51800238

130216362552 has 96 divisors (see below), whose sum is σ = 356693422800. Its totient is φ = 42911949312.

The previous prime is 130216362511. The next prime is 130216362623. The reversal of 130216362552 is 255263612031.

130216362552 is a `hidden beast` number, since 1 + 3 + 0 + 21 + 6 + 3 + 625 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3568383 + ... + 3604689.

Almost surely, 2130216362552 is an apocalyptic number.

130216362552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130216362552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178346711400).

130216362552 is an abundant number, since it is smaller than the sum of its proper divisors (226477060248).

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

130216362552 is a wasteful number, since it uses less digits than its factorization.

130216362552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36885 (or 36878 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 130216362552 its reverse (255263612031), we get a palindrome (385479974583).

The spelling of 130216362552 in words is "one hundred thirty billion, two hundred sixteen million, three hundred sixty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 457 654 872 914 981 1308 1371 1828 1962 2616 2742 3656 3924 4113 5484 7848 8226 10968 16452 32904 36307 49813 72614 99626 108921 145228 149439 199252 217842 290456 298878 326763 398504 435684 448317 597756 653526 871368 896634 1195512 1307052 1793268 2614104 3586536 3957463 7914926 11872389 15829852 16592299 23744778 31659704 33184598 35617167 47489556 49776897 66369196 71234334 94979112 99553794 132738392 142468668 149330691 199107588 284937336 298661382 398215176 597322764 1194645528 1808560591 3617121182 5425681773 7234242364 10851363546 14468484728 16277045319 21702727092 32554090638 43405454184 65108181276 130216362552