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133102120 = 2354783853
BaseRepresentation
bin1111110111011…
…11101000101000
3100021110021210011
413323233220220
5233033231440
621112501304
73204230554
oct773575050
9307407704
10133102120
1169150658
12386aa834
1321763768
141396a864
15ba429ea
hex7eefa28

133102120 has 64 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 51419904.

The previous prime is 133102117. The next prime is 133102169. The reversal of 133102120 is 21201331.

It is a self number, because there is not a number n which added to its sum of digits gives 133102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155614 + ... + 156466.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2133102120 is an apocalyptic number.

133102120 is a gapful number since it is divisible by the number (10) 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 133102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

133102120 is an abundant number, since it is smaller than the sum of its proper divisors (176797400).

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

133102120 is a wasteful number, since it uses less digits than its factorization.

133102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133102120 is about 11536.9892086280. The cubic root of 133102120 is about 510.5774824732.

Adding to 133102120 its reverse (21201331), we get a palindrome (154303451).

The spelling of 133102120 in words is "one hundred thirty-three million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 83 94 166 188 235 332 376 415 470 664 830 853 940 1660 1706 1880 3320 3412 3901 4265 6824 7802 8530 15604 17060 19505 31208 34120 39010 40091 70799 78020 80182 141598 156040 160364 200455 283196 320728 353995 400910 566392 707990 801820 1415980 1603640 2831960 3327553 6655106 13310212 16637765 26620424 33275530 66551060 133102120