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130151533356 = 2232137910973209
BaseRepresentation
bin111100100110110100…
…0101100101100101100
3110102221111001221022100
41321031220230230230
54113022243031411
6135442451015100
712255163531365
oct1711550545454
9412844057270
10130151533356
1150219169409
122128359a490
13c3723bc640
146429672b6c
1535bb2e7456
hex1e4da2cb2c

130151533356 has 144 divisors (see below), whose sum is σ = 359225193600. Its totient is φ = 39491352576.

The previous prime is 130151533327. The next prime is 130151533381. The reversal of 130151533356 is 653335151031.

130151533356 is a `hidden beast` number, since 1 + 301 + 5 + 15 + 3 + 335 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130151533356.

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 47 ways as a sum of consecutive naturals, for example, 40556680 + ... + 40559888.

It is an arithmetic number, because the mean of its divisors is an integer number (2494619400).

Almost surely, 2130151533356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130151533356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179612596800).

130151533356 is an abundant number, since it is smaller than the sum of its proper divisors (229073660244).

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

130151533356 is a wasteful number, since it uses less digits than its factorization.

130151533356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

Adding to 130151533356 its reverse (653335151031), we get a palindrome (783486684387).

The spelling of 130151533356 in words is "one hundred thirty billion, one hundred fifty-one million, five hundred thirty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1097 1422 2054 2194 2844 3081 3209 3291 4108 4388 6162 6418 6582 9243 9627 9873 12324 12836 13164 14261 18486 19254 19746 28522 28881 36972 38508 39492 41717 42783 57044 57762 83434 85566 86663 115524 125151 128349 166868 171132 173326 250302 253511 256698 259989 346652 375453 500604 507022 513396 519978 750906 760533 779967 1014044 1039956 1126619 1501812 1521066 1559934 2253238 2281599 3042132 3119868 3295643 3379857 3520273 4506476 4563198 6591286 6759714 7040546 9126396 9886929 10139571 10560819 13182572 13519428 14081092 19773858 20279142 21121638 29660787 31682457 39547716 40558284 42243276 45763549 59321574 63364914 91527098 118643148 126729828 137290647 183054196 274581294 278101567 411871941 549162588 556203134 823743882 834304701 1112406268 1647487764 1668609402 2502914103 3337218804 3615320371 5005828206 7230640742 10011656412 10845961113 14461281484 21691922226 32537883339 43383844452 65075766678 130151533356