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131213412020 = 22557711370313
BaseRepresentation
bin111101000110011101…
…1011100011010110100
3110112200111011221222202
41322030323130122310
54122211113141040
6140140102444032
712323406412505
oct1721473343264
9415614157882
10131213412020
1150713606589
122151b133618
13c4b13b3902
1464ca6cabac
15362e64d015
hex1e8cedc6b4

131213412020 has 24 divisors (see below), whose sum is σ = 276025742664. Its totient is φ = 52394397696.

The previous prime is 131213411941. The next prime is 131213412037. The reversal of 131213412020 is 20214312131.

It can be written as a sum of positive squares in 4 ways, for example, as 34072729744 + 97140682276 = 184588^2 + 311674^2 .

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 = 131213411983 and 131213412001.

It is a congruent number.

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, 5673617 + ... + 5696696.

It is an arithmetic number, because the mean of its divisors is an integer number (11501072611).

Almost surely, 2131213412020 is an apocalyptic number.

131213412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213412020 is an abundant number, since it is smaller than the sum of its proper divisors (144812330644).

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

131213412020 is a wasteful number, since it uses less digits than its factorization.

131213412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11370899 (or 11370897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131213412020 its reverse (20214312131), we get a palindrome (151427724151).

The spelling of 131213412020 in words is "one hundred thirty-one billion, two hundred thirteen million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 11370313 22740626 45481252 56851565 113703130 227406260 6560670601 13121341202 26242682404 32803353005 65606706010 131213412020