Search a number
-
+
131322020 = 22561107641
BaseRepresentation
bin1111101001111…
…01000010100100
3100011002211221112
413310331002210
5232104301040
621010404152
73153135014
oct764750244
9304084845
10131322020
11681451a5
1237b90658
132128c44b
1413625c44
15b7e0365
hex7d3d0a4

131322020 has 24 divisors (see below), whose sum is σ = 280299768. Its totient is φ = 51667200.

The previous prime is 131322017. The next prime is 131322047. The reversal of 131322020 is 20223131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 128913316 = 1552^2 + 11354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131321986 and 131322004.

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, 52601 + ... + 55040.

It is an arithmetic number, because the mean of its divisors is an integer number (11679157).

Almost surely, 2131322020 is an apocalyptic number.

131322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322020 is an abundant number, since it is smaller than the sum of its proper divisors (148977748).

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

131322020 is a wasteful number, since it uses less digits than its factorization.

131322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107711 (or 107709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131322020 is about 11459.5820168102. The cubic root of 131322020 is about 508.2911148908.

Adding to 131322020 its reverse (20223131), we get a palindrome (151545151).

The spelling of 131322020 in words is "one hundred thirty-one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 107641 215282 430564 538205 1076410 2152820 6566101 13132202 26264404 32830505 65661010 131322020