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132100332 = 223713137883
BaseRepresentation
bin1111101111110…
…11000011101100
3100012120101120220
413313323003230
5232304202312
621035211340
73162556110
oct767730354
9305511526
10132100332
1168626a31
12382a6b50
13214a27a0
1413789740
15b8e5c8c
hex7dfb0ec

132100332 has 96 divisors (see below), whose sum is σ = 382566912. Its totient is φ = 34546176.

The previous prime is 132100301. The next prime is 132100333. The reversal of 132100332 is 233001231.

It is not an unprimeable number, because it can be changed into a prime (132100333) 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, 149163 + ... + 150045.

It is an arithmetic number, because the mean of its divisors is an integer number (3985072).

Almost surely, 2132100332 is an apocalyptic number.

132100332 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 132100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191283456).

132100332 is an abundant number, since it is smaller than the sum of its proper divisors (250466580).

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

132100332 is a wasteful number, since it uses less digits than its factorization.

132100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132100332 is about 11493.4908535223. The cubic root of 132100332 is about 509.2933080228.

Adding to 132100332 its reverse (233001231), we get a palindrome (365101563).

The spelling of 132100332 in words is "one hundred thirty-two million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 137 156 182 273 274 364 411 546 548 822 883 959 1092 1644 1766 1781 1918 2649 2877 3532 3562 3836 5298 5343 5754 6181 7124 10596 10686 11479 11508 12362 12467 18543 21372 22958 24724 24934 34437 37086 37401 45916 49868 68874 74172 74802 80353 120971 137748 149604 160706 241059 241942 321412 362913 482118 483884 725826 846797 964236 1451652 1572623 1693594 2540391 3145246 3387188 4717869 5080782 6290492 9435738 10161564 11008361 18871476 22016722 33025083 44033444 66050166 132100332