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131023335220 = 22512135400797
BaseRepresentation
bin111101000000110011…
…0010110111100110100
3110112012020112001122021
41322001212112330310
54121313433211340
6140105152442524
712315610654651
oct1720146267464
9415166461567
10131023335220
1150626291018
1221487549444
13c480bc222b
1464ad36cc28
15361cb03e4a
hex1e81996f34

131023335220 has 24 divisors (see below), whose sum is σ = 275375888424. Its totient is φ = 52366118016.

The previous prime is 131023335173. The next prime is 131023335241. The reversal of 131023335220 is 22533320131.

It can be written as a sum of positive squares in 4 ways, for example, as 1397413924 + 129625921296 = 37382^2 + 360036^2 .

It is a super-2 number, since 2×1310233352202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676139 + ... + 2724658.

It is an arithmetic number, because the mean of its divisors is an integer number (11473995351).

Almost surely, 2131023335220 is an apocalyptic number.

131023335220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023335220 is an abundant number, since it is smaller than the sum of its proper divisors (144352553204).

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

131023335220 is a wasteful number, since it uses less digits than its factorization.

131023335220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402019 (or 5402017 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 131023335220 its reverse (22533320131), we get a palindrome (153556655351).

The spelling of 131023335220 in words is "one hundred thirty-one billion, twenty-three million, three hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1213 2426 4852 6065 12130 24260 5400797 10801594 21603188 27003985 54007970 108015940 6551166761 13102333522 26204667044 32755833805 65511667610 131023335220