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133102332 = 223311181619
BaseRepresentation
bin1111110111011…
…11101011111100
3100021110022002000
413323233223330
5233033233312
621112502300
73204231306
oct773575374
9307408060
10133102332
1169150830
12386aa990
132176389c
141396a976
15ba42adc
hex7eefafc

133102332 has 96 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 40046400.

The previous prime is 133102331. The next prime is 133102349. The reversal of 133102332 is 233201331.

133102332 is a `hidden beast` number, since 1 + 331 + 0 + 2 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102331) 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, 214719 + ... + 215337.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2133102332 is an apocalyptic number.

133102332 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 133102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

133102332 is an abundant number, since it is smaller than the sum of its proper divisors (246040068).

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

133102332 is a wasteful number, since it uses less digits than its factorization.

133102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133102332 is about 11536.9983964634. The cubic root of 133102332 is about 510.5777535492.

Adding to 133102332 its reverse (233201331), we get a palindrome (366303663).

The spelling of 133102332 in words is "one hundred thirty-three million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 619 724 1086 1188 1238 1629 1857 1991 2172 2476 3258 3714 3982 4887 5571 5973 6516 6809 7428 7964 9774 11142 11946 13618 16713 17919 19548 20427 22284 23892 27236 33426 35838 40854 53757 61281 66852 71676 81708 107514 112039 122562 183843 215028 224078 245124 336117 367686 448156 672234 735372 1008351 1232429 1344468 2016702 2464858 3025053 3697287 4033404 4929716 6050106 7394574 11091861 12100212 14789148 22183722 33275583 44367444 66551166 133102332