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132325110 = 233517127227
BaseRepresentation
bin1111110001100…
…01111011110110
3100012222210221000
413320301323312
5232333400420
621044104130
73164513331
oct770617366
9305883830
10132325110
116876a8a5
1238395046
1321550ba8
1413807618
15b93c690
hex7e31ef6

132325110 has 128 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 32804352.

The previous prime is 132325091. The next prime is 132325121. The reversal of 132325110 is 11523231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582817 + ... + 583043.

It is an arithmetic number, because the mean of its divisors is an integer number (2954880).

Almost surely, 2132325110 is an apocalyptic number.

132325110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132325110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112320).

132325110 is an abundant number, since it is smaller than the sum of its proper divisors (245899530).

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

132325110 is a wasteful number, since it uses less digits than its factorization.

132325110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132325110 is about 11503.2651886323. The cubic root of 132325110 is about 509.5820104558.

Adding to 132325110 its reverse (11523231), we get a palindrome (143848341).

The spelling of 132325110 in words is "one hundred thirty-two million, three hundred twenty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 127 135 153 170 227 254 255 270 306 381 454 459 510 635 681 762 765 918 1135 1143 1270 1362 1530 1905 2043 2159 2270 2286 2295 3405 3429 3810 3859 4086 4318 4590 5715 6129 6477 6810 6858 7718 10215 10795 11430 11577 12258 12954 17145 19295 19431 20430 21590 23154 28829 30645 32385 34290 34731 38590 38862 57658 57885 58293 61290 64770 69462 86487 97155 104193 115770 116586 144145 172974 173655 194310 208386 259461 288290 291465 347310 432435 490093 518922 520965 582930 778383 864870 980186 1041930 1297305 1470279 1556766 2450465 2594610 2940558 3891915 4410837 4900930 7351395 7783830 8821674 13232511 14702790 22054185 26465022 44108370 66162555 132325110