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132113120 = 2551748571
BaseRepresentation
bin1111101111111…
…10001011100000
3100012121001010112
413313332023200
5232310104440
621035350452
73162641306
oct767761340
9305531115
10132113120
11686355a7
12382b2428
13214a8559
1413790276
15b8e9965
hex7dfe2e0

132113120 has 48 divisors (see below), whose sum is σ = 330483888. Its totient is φ = 49735680.

The previous prime is 132113119. The next prime is 132113141. The reversal of 132113120 is 21311231.

It is a super-2 number, since 2×1321131202 = 34907752952268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132113095 and 132113104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21566 + ... + 27005.

It is an arithmetic number, because the mean of its divisors is an integer number (6885081).

Almost surely, 2132113120 is an apocalyptic number.

132113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113120 is an abundant number, since it is smaller than the sum of its proper divisors (198370768).

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

132113120 is a wasteful number, since it uses less digits than its factorization.

132113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48603 (or 48595 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132113120 is about 11494.0471549407. The cubic root of 132113120 is about 509.3097415739.

Adding to 132113120 its reverse (21311231), we get a palindrome (153424351).

It can be divided in two parts, 1321 and 13120, that added together give a palindrome (14441).

The spelling of 132113120 in words is "one hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 48571 97142 194284 242855 388568 485710 777136 825707 971420 1554272 1651414 1942840 3302828 3885680 4128535 6605656 7771360 8257070 13211312 16514140 26422624 33028280 66056560 132113120