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132221032320 = 2735135297317
BaseRepresentation
bin111101100100011111…
…1001101011110000000
3110122021201012101012010
41323020333031132000
54131242041013240
6140424055332520
712360363142146
oct1731077153600
9418251171163
10132221032320
1151090364633
1221760681140
13c61208b440
14658445d596
15368cd37280
hex1ec8fcd780

132221032320 has 128 divisors (see below), whose sum is σ = 453874206240. Its totient is φ = 32546709504.

The previous prime is 132221032309. The next prime is 132221032369. The reversal of 132221032320 is 23230122231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623699 + ... + 2673618.

Almost surely, 2132221032320 is an apocalyptic number.

132221032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221032320 is an abundant number, since it is smaller than the sum of its proper divisors (321653173920).

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

132221032320 is a wasteful number, since it uses less digits than its factorization.

132221032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297352 (or 5297340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132221032320 its reverse (23230122231), we get a palindrome (155451154551).

The spelling of 132221032320 in words is "one hundred thirty-two billion, two hundred twenty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 5297317 10594634 15891951 21189268 26486585 31783902 42378536 52973170 63567804 68865121 79459755 84757072 105946340 127135608 137730242 158919510 169514144 206595363 211892680 254271216 275460484 317839020 339028288 344325605 413190726 423785360 508542432 550920968 635678040 678056576 688651210 826381452 847570720 1017084864 1032976815 1101841936 1271356080 1377302420 1652762904 1695141440 2034169728 2065953630 2203683872 2542712160 2754604840 3305525808 3390282880 4131907260 4407367744 5085424320 5509209680 6611051616 8263814520 8814735488 10170848640 11018419360 13222103232 16527629040 22036838720 26444206464 33055258080 44073677440 66110516160 132221032320