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131023413020 = 2258973608659
BaseRepresentation
bin111101000000110011…
…0101001111100011100
3110112012020200000100202
41322001212221330130
54121313443204040
6140105154243032
712315611430533
oct1720146517434
9415166600322
10131023413020
1150626334515
1221487586478
13c480c1b776
1464ad38d31a
15361cb1c015
hex1e819a9f1c

131023413020 has 24 divisors (see below), whose sum is σ = 278240734800. Its totient is φ = 51820495232.

The previous prime is 131023413019. The next prime is 131023413029. The reversal of 131023413020 is 20314320131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131023412983 and 131023413001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023413029) by changing a digit.

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, 36802550 + ... + 36806109.

It is an arithmetic number, because the mean of its divisors is an integer number (11593363950).

Almost surely, 2131023413020 is an apocalyptic number.

131023413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023413020 is an abundant number, since it is smaller than the sum of its proper divisors (147217321780).

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

131023413020 is a wasteful number, since it uses less digits than its factorization.

131023413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73608757 (or 73608755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131023413020 its reverse (20314320131), we get a palindrome (151337733151).

The spelling of 131023413020 in words is "one hundred thirty-one billion, twenty-three million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 73608659 147217318 294434636 368043295 736086590 1472173180 6551170651 13102341302 26204682604 32755853255 65511706510 131023413020