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131122120 = 2353278053
BaseRepresentation
bin1111101000011…
…00001111001000
3100010201200201211
413310030033020
5232031401440
621002222504
73151343143
oct764141710
9303650654
10131122120
1168018a98
1237ab4a34
132121c46c
14135b305a
15b7a0eea
hex7d0c3c8

131122120 has 16 divisors (see below), whose sum is σ = 295024860. Its totient is φ = 52448832.

The previous prime is 131122111. The next prime is 131122129. The reversal of 131122120 is 21221131.

It is an interprime number because it is at equal distance from previous prime (131122111) and next prime (131122129).

It can be written as a sum of positive squares in 2 ways, for example, as 130279396 + 842724 = 11414^2 + 918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131122120.

It is not an unprimeable number, because it can be changed into a prime (131122129) 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 3 ways as a sum of consecutive naturals, for example, 1638987 + ... + 1639066.

Almost surely, 2131122120 is an apocalyptic number.

131122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122120 is an abundant number, since it is smaller than the sum of its proper divisors (163902740).

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

131122120 is a wasteful number, since it uses less digits than its factorization.

131122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278064 (or 3278060 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131122120 is about 11450.8567365067. The cubic root of 131122120 is about 508.0330749127.

Adding to 131122120 its reverse (21221131), we get a palindrome (152343251).

The spelling of 131122120 in words is "one hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3278053 6556106 13112212 16390265 26224424 32780530 65561060 131122120