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130922087868 = 22321113151116831
BaseRepresentation
bin111100111101110010…
…0001000010110111100
3110111221012000011101100
41321323210020112330
54121112023302433
6140051134413100
712313241246115
oct1717344102674
9414835004340
10130922087868
1150584118420
1221459661190
13c465c32a60
14649db3520c
153613ca4b13
hex1e7b9085bc

130922087868 has 144 divisors (see below), whose sum is σ = 389079355392. Its totient is φ = 36595152000.

The previous prime is 130922087843. The next prime is 130922087873. The reversal of 130922087868 is 868780229031.

It is a happy number.

130922087868 is a `hidden beast` number, since 1 + 309 + 2 + 208 + 78 + 68 = 666.

It is a congruent 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, 7770213 + ... + 7787043.

It is an arithmetic number, because the mean of its divisors is an integer number (2701939968).

Almost surely, 2130922087868 is an apocalyptic number.

130922087868 is a gapful number since it is divisible by the number (18) 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 130922087868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194539677696).

130922087868 is an abundant number, since it is smaller than the sum of its proper divisors (258157267524).

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

130922087868 is a wasteful number, since it uses less digits than its factorization.

130922087868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376 (or 18371 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 130922087868 in words is "one hundred thirty billion, nine hundred twenty-two million, eighty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1511 1716 2574 3022 4533 5148 6044 9066 13599 16621 16831 18132 19643 27198 33242 33662 39286 49863 50493 54396 58929 66484 67324 78572 99726 100986 117858 149589 151479 176787 185141 199452 201972 216073 218803 235716 299178 302958 353574 370282 432146 437606 555423 598356 605916 648219 656409 707148 740564 864292 875212 1110846 1296438 1312818 1666269 1944657 1969227 2221692 2406833 2592876 2625636 3332538 3889314 3938454 4813666 6665076 7220499 7778628 7876908 9627332 14440998 21661497 25431641 28881996 43322994 50863282 76294923 86645988 101726564 152589846 228884769 279748051 305179692 330611333 457769538 559496102 661222666 839244153 915539076 991833999 1118992204 1322445332 1678488306 1983667998 2517732459 2975501997 3356976612 3636724663 3967335996 5035464918 5951003994 7273449326 10070929836 10910173989 11902007988 14546898652 21820347978 32730521967 43640695956 65461043934 130922087868