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131220324 = 2234405001
BaseRepresentation
bin1111101001001…
…00001101100100
3100010220200110000
413310210031210
5232043022244
621004301300
73152232354
oct764441544
9303820400
10131220324
1168085854
1237b41830
1321255081
14135dab64
15b7c0169
hex7d24364

131220324 has 30 divisors (see below), whose sum is σ = 343036694. Its totient is φ = 43740000.

The previous prime is 131220293. The next prime is 131220329. The reversal of 131220324 is 423022131.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 5062500 = 11232^2 + 2250^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131220297 and 131220306.

It is not an unprimeable number, because it can be changed into a prime (131220329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 202177 + ... + 202824.

Almost surely, 2131220324 is an apocalyptic number.

It is an amenable number.

131220324 is an abundant number, since it is smaller than the sum of its proper divisors (211816370).

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

131220324 is a wasteful number, since it uses less digits than its factorization.

131220324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405017 (or 405006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131220324 is about 11455.1439973490. The cubic root of 131220324 is about 508.1598738336.

Adding to 131220324 its reverse (423022131), we get a palindrome (554242455).

The spelling of 131220324 in words is "one hundred thirty-one million, two hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 405001 810002 1215003 1620004 2430006 3645009 4860012 7290018 10935027 14580036 21870054 32805081 43740108 65610162 131220324