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131403322100020 = 22520509732034433
BaseRepresentation
bin11101111000001010111000…
…010101100000100100110100
3122020021000221110010020202011
4131320022320111200210310
5114210403000424200040
61143245504112454004
736451401550560355
oct3570127025404464
9566230843106664
10131403322100020
1138961921714423
12128a2a1684a304
13584238450b5c9
142463d51a97d2c
15102d17e1c43ea
hex7782b8560934

131403322100020 has 24 divisors (see below), whose sum is σ = 275948330470344. Its totient is φ = 52561070923776.

The previous prime is 131403322099957. The next prime is 131403322100027. The reversal of 131403322100020 is 20001223304131.

It can be written as a sum of positive squares in 4 ways, for example, as 37548535714596 + 93854786385424 = 6127686^2 + 9687868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131403322099964 and 131403322100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403322100027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11915277 + ... + 20119156.

It is an arithmetic number, because the mean of its divisors is an integer number (11497847102931).

Almost surely, 2131403322100020 is an apocalyptic number.

131403322100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403322100020 is an abundant number, since it is smaller than the sum of its proper divisors (144545008370324).

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

131403322100020 is a wasteful number, since it uses less digits than its factorization.

131403322100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32239539 (or 32239537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131403322100020 its reverse (20001223304131), we get a palindrome (151404545404151).

The spelling of 131403322100020 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 205097 410194 820388 1025485 2050970 4101940 32034433 64068866 128137732 160172165 320344330 640688660 6570166105001 13140332210002 26280664420004 32850830525005 65701661050010 131403322100020