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10131000020 = 225506550001
BaseRepresentation
bin10010110111101101…
…01100101011010100
3222011001021010100222
421123312230223110
5131222014000040
64353142253512
7506025036131
oct113366545324
928131233328
1010131000020
11432975a299
121b68a27298
13c55b9618b
146c1703588
153e4637bb5
hex25bdacad4

10131000020 has 12 divisors (see below), whose sum is σ = 21275100084. Its totient is φ = 4052400000.

The previous prime is 10130999947. The next prime is 10131000037. The reversal of 10131000020 is 2000013101.

It can be written as a sum of positive squares in 2 ways, for example, as 4065082564 + 6065917456 = 63758^2 + 77884^2 .

It is a super-2 number, since 2×101310000202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10130999971 and 10131000007.

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, 253274981 + ... + 253275020.

It is an arithmetic number, because the mean of its divisors is an integer number (1772925007).

Almost surely, 210131000020 is an apocalyptic number.

10131000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131000020 is an abundant number, since it is smaller than the sum of its proper divisors (11144100064).

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

10131000020 is a wasteful number, since it uses less digits than its factorization.

10131000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506550010 (or 506550008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10131000020 its reverse (2000013101), we get a palindrome (12131013121).

The spelling of 10131000020 in words is "ten billion, one hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 506550001 1013100002 2026200004 2532750005 5065500010 10131000020