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132151115563110 = 23257973921538523
BaseRepresentation
bin11110000011000011010100…
…010011001100000001100110
3122022220112010110110010111200
4132003003110103030001212
5114310130441041004420
61145021215005543330
736556413560253420
oct3603032423140146
9568815113403450
10132151115563110
113911aa78621246
12129a3931274b46
135897a48538407
14248c21062d810
151042849062b90
hex7830d44cc066

132151115563110 has 96 divisors (see below), whose sum is σ = 392717938878720. Its totient is φ = 30202866321984.

The previous prime is 132151115563037. The next prime is 132151115563121. The reversal of 132151115563110 is 11365511151231.

132151115563110 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 1 + 1 + 1 + 5 + 5 + 631 + 10 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4633692 + ... + 16904831.

It is an arithmetic number, because the mean of its divisors is an integer number (4090811863320).

Almost surely, 2132151115563110 is an apocalyptic number.

132151115563110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132151115563110 is an abundant number, since it is smaller than the sum of its proper divisors (260566823315610).

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

132151115563110 is a wasteful number, since it uses less digits than its factorization.

132151115563110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21548282 (or 21548279 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 132151115563110 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred fifteen million, five hundred sixty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 9739 19478 29217 48695 58434 68173 87651 97390 136346 146085 175302 204519 292170 340865 409038 438255 613557 681730 876510 1022595 1227114 2045190 3067785 6135570 21538523 43077046 64615569 107692615 129231138 150769661 193846707 215385230 301539322 323077845 387693414 452308983 646155690 753848305 904617966 969233535 1356926949 1507696610 1938467070 2261544915 2713853898 4523089830 6784634745 13569269490 209763675497 419527350994 629291026491 1048818377485 1258582052982 1468345728479 1887873079473 2097636754970 2936691456958 3146455132455 3775746158946 4405037185437 6292910264910 7341728642395 8810074370874 9439365397365 13215111556311 14683457284790 18878730794730 22025185927185 26430223112622 44050371854370 66075557781555 132151115563110