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132120031131 = 32111970239251
BaseRepresentation
bin111101100001011110…
…1111010111110011011
3110122000200010222121100
41323002331322332123
54131040211444011
6140410050442443
712355025510064
oct1730275727633
9418020128540
10132120031131
1151039349980
1221732893423
13c5c718701a
146574c8b56b
153684035d56
hex1ec2f7af9b

132120031131 has 24 divisors (see below), whose sum is σ = 219146466240. Its totient is φ = 75858390000.

The previous prime is 132120031123. The next prime is 132120031157. The reversal of 132120031131 is 131130021231.

132120031131 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 0 + 311 + 31 = 666.

It is not a de Polignac number, because 132120031131 - 23 = 132120031123 is a prime.

It is a super-2 number, since 2×1321200311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132120031111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35117745 + ... + 35121506.

It is an arithmetic number, because the mean of its divisors is an integer number (9131102760).

Almost surely, 2132120031131 is an apocalyptic number.

132120031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132120031131 is a deficient number, since it is larger than the sum of its proper divisors (87026435109).

132120031131 is a wasteful number, since it uses less digits than its factorization.

132120031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70239287 (or 70239284 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132120031131 its reverse (131130021231), we get a palindrome (263250052362).

The spelling of 132120031131 in words is "one hundred thirty-two billion, one hundred twenty million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 70239251 210717753 632153259 772631761 1334545769 2317895283 4003637307 6953685849 12010911921 14680003459 44040010377 132120031131