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132113220 = 22359112417
BaseRepresentation
bin1111101111111…
…10001101000100
3100012121001021020
413313332031010
5232310110340
621035351140
73162641511
oct767761504
9305531236
10132113220
1168635688
12382b24b0
13214a8605
1413790308
15b8e99d0
hex7dfe344

132113220 has 48 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 35176960.

The previous prime is 132113209. The next prime is 132113249. The reversal of 132113220 is 22311231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132113220.

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, 53452 + ... + 55868.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2132113220 is an apocalyptic number.

132113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113220 is an abundant number, since it is smaller than the sum of its proper divisors (238363068).

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

132113220 is a wasteful number, since it uses less digits than its factorization.

132113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132113220 is about 11494.0515050177. The cubic root of 132113220 is about 509.3098700773.

Adding to 132113220 its reverse (22311231), we get a palindrome (154424451).

It can be divided in two parts, 1321 and 13220, that added together give a palindrome (14541).

The spelling of 132113220 in words is "one hundred thirty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 911 1822 2417 2733 3644 4555 4834 5466 7251 9110 9668 10932 12085 13665 14502 18220 24170 27330 29004 36255 48340 54660 72510 145020 2201887 4403774 6605661 8807548 11009435 13211322 22018870 26422644 33028305 44037740 66056610 132113220