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131402124020 = 2256570106201
BaseRepresentation
bin111101001100000101…
…1010100101011110100
3110120011122021112012002
41322120023110223310
54123102420432040
6140210523314432
712331160424326
oct1723013245364
9416148245162
10131402124020
1150800089712
122157237ba18
13c51151800b
1465077b1616
153640ec7a15
hex1e982d4af4

131402124020 has 12 divisors (see below), whose sum is σ = 275944460484. Its totient is φ = 52560849600.

The previous prime is 131402123969. The next prime is 131402124047. The reversal of 131402124020 is 20421204131.

It can be written as a sum of positive squares in 2 ways, for example, as 87353349136 + 44048774884 = 295556^2 + 209878^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6570106201 = 131402124020 / (1 + 3 + 1 + 4 + 0 + 2 + 1 + 2 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 131402123983 and 131402124001.

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 3 ways as a sum of consecutive naturals, for example, 3285053081 + ... + 3285053120.

It is an arithmetic number, because the mean of its divisors is an integer number (22995371707).

Almost surely, 2131402124020 is an apocalyptic number.

131402124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402124020 is an abundant number, since it is smaller than the sum of its proper divisors (144542336464).

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

131402124020 is a wasteful number, since it uses less digits than its factorization.

131402124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570106210 (or 6570106208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131402124020 its reverse (20421204131), we get a palindrome (151823328151).

The spelling of 131402124020 in words is "one hundred thirty-one billion, four hundred two million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 6570106201 13140212402 26280424804 32850531005 65701062010 131402124020