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132113320 = 23531106543
BaseRepresentation
bin1111101111111…
…10001110101000
3100012121001101221
413313332032220
5232310111240
621035351424
73162642013
oct767761650
9305531357
10132113320
1168635769
12382b2574
13214a8681
141379037a
15b8e9a4a
hex7dfe3a8

132113320 has 32 divisors (see below), whose sum is σ = 306846720. Its totient is φ = 51140160.

The previous prime is 132113309. The next prime is 132113339. The reversal of 132113320 is 23311231.

It is a junction number, because it is equal to n+sod(n) for n = 132113294 and 132113303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52032 + ... + 54511.

It is an arithmetic number, because the mean of its divisors is an integer number (9588960).

Almost surely, 2132113320 is an apocalyptic number.

132113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113320 is an abundant number, since it is smaller than the sum of its proper divisors (174733400).

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

132113320 is a wasteful number, since it uses less digits than its factorization.

132113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106585 (or 106581 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132113320 is about 11494.0558550931. The cubic root of 132113320 is about 509.3099985807.

Adding to 132113320 its reverse (23311231), we get a palindrome (155424551).

It can be divided in two parts, 1321 and 13320, that added together give a palindrome (14641).

The spelling of 132113320 in words is "one hundred thirty-two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 106543 213086 426172 532715 852344 1065430 2130860 3302833 4261720 6605666 13211332 16514165 26422664 33028330 66056660 132113320