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131011322020 = 22519333940757
BaseRepresentation
bin111101000000011100…
…0100010000010100100
3110112011101220201121221
41322000320202002210
54121302344301040
6140104043150124
712315403602025
oct1720070420244
9415141821557
10131011322020
115061a526357
1221483515344
13c47b577227
1464ab922c4c
15361ba2e74a
hex1e80e220a4

131011322020 has 24 divisors (see below), whose sum is σ = 276549296184. Its totient is φ = 52133001216.

The previous prime is 131011322009. The next prime is 131011322021. The reversal of 131011322020 is 20223110131.

It can be written as a sum of positive squares in 4 ways, for example, as 3666544704 + 127344777316 = 60552^2 + 356854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131011321985 and 131011322003.

It is not an unprimeable number, because it can be changed into a prime (131011322021) 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 7 ways as a sum of consecutive naturals, for example, 16966519 + ... + 16974238.

It is an arithmetic number, because the mean of its divisors is an integer number (11522887341).

Almost surely, 2131011322020 is an apocalyptic number.

131011322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011322020 is an abundant number, since it is smaller than the sum of its proper divisors (145537974164).

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

131011322020 is a wasteful number, since it uses less digits than its factorization.

131011322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33940959 (or 33940957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131011322020 its reverse (20223110131), we get a palindrome (151234432151).

The spelling of 131011322020 in words is "one hundred thirty-one billion, eleven million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 33940757 67881514 135763028 169703785 339407570 678815140 6550566101 13101132202 26202264404 32752830505 65505661010 131011322020