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132211332 = 2233111091021
BaseRepresentation
bin1111110000101…
…10001010000100
3100012210000212000
413320112022010
5232321230312
621041425300
73163530531
oct770261204
9305700760
10132211332
11686a2370
123833b230
1321511176
14137b7d88
15b918adc
hex7e16284

132211332 has 96 divisors (see below), whose sum is σ = 377731200. Its totient is φ = 39657600.

The previous prime is 132211327. The next prime is 132211333. The reversal of 132211332 is 233112231.

132211332 is a `hidden beast` number, since 1 + 322 + 11 + 332 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132211333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128982 + ... + 130002.

It is an arithmetic number, because the mean of its divisors is an integer number (3934700).

Almost surely, 2132211332 is an apocalyptic number.

132211332 is a gapful number since it is divisible by the number (12) 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 132211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188865600).

132211332 is an abundant number, since it is smaller than the sum of its proper divisors (245519868).

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

132211332 is a wasteful number, since it uses less digits than its factorization.

132211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132211332 is about 11498.3186596998. The cubic root of 132211332 is about 509.4359161192.

Adding to 132211332 its reverse (233112231), we get a palindrome (365323563).

The spelling of 132211332 in words is "one hundred thirty-two million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1021 1188 1199 1308 1962 2042 2398 2943 3063 3597 3924 4084 4796 5886 6126 7194 9189 10791 11231 11772 12252 14388 18378 21582 22462 27567 32373 33693 36756 43164 44924 55134 64746 67386 101079 110268 111289 129492 134772 202158 222578 303237 333867 404316 445156 606474 667734 1001601 1212948 1224179 1335468 2003202 2448358 3004803 3672537 4006404 4896716 6009606 7345074 11017611 12019212 14690148 22035222 33052833 44070444 66105666 132211332