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131033132202020 = 22537177071800273
BaseRepresentation
bin11101110010110010000111…
…010011000111100000100100
3122011221122102021111222001012
4131302302013103013200210
5114133321323320431040
61142403442342321352
736412555111423616
oct3562620723074044
9564848367458035
10131033132202020
1138829926112964
1212843122a29258
1358164a9b07199
142450074a2adb6
1510237148e3865
hex772c874c7824

131033132202020 has 24 divisors (see below), whose sum is σ = 282606593237304. Its totient is φ = 50996678478336.

The previous prime is 131033132201989. The next prime is 131033132202139. The reversal of 131033132202020 is 20202231330131.

It can be written as a sum of positive squares in 4 ways, for example, as 84285472826944 + 46747659375076 = 9180712^2 + 6837226^2 .

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, 88535899397 + ... + 88535900876.

It is an arithmetic number, because the mean of its divisors is an integer number (11775274718221).

Almost surely, 2131033132202020 is an apocalyptic number.

131033132202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131033132202020 is an abundant number, since it is smaller than the sum of its proper divisors (151573461035284).

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

131033132202020 is a wasteful number, since it uses less digits than its factorization.

131033132202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177071800319 (or 177071800317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131033132202020 its reverse (20202231330131), we get a palindrome (151235363532151).

The spelling of 131033132202020 in words is "one hundred thirty-one trillion, thirty-three billion, one hundred thirty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 177071800273 354143600546 708287201092 885359001365 1770718002730 3541436005460 6551656610101 13103313220202 26206626440404 32758283050505 65516566101010 131033132202020