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130513400125 = 531044107201
BaseRepresentation
bin111100110001100110…
…1000111000100111101
3110110212200222200012021
41321203031013010331
54114242412301000
6135542415040141
712300146411503
oct1714315070475
9413780880167
10130513400125
1150394459259
1221364810051
13c3cc36bca4
14646174c673
1535dce7711a
hex1e6334713d

130513400125 has 8 divisors (see below), whose sum is σ = 162880723512. Its totient is φ = 104410720000.

The previous prime is 130513400123. The next prime is 130513400131. The reversal of 130513400125 is 521004315031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4558680324 + 125954719801 = 67518^2 + 354901^2 .

It is not a de Polignac number, because 130513400125 - 21 = 130513400123 is a prime.

It is a super-2 number, since 2×1305134001252 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130513400125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130513400123) 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, 522053476 + ... + 522053725.

It is an arithmetic number, because the mean of its divisors is an integer number (20360090439).

Almost surely, 2130513400125 is an apocalyptic number.

It is an amenable number.

130513400125 is a deficient number, since it is larger than the sum of its proper divisors (32367323387).

130513400125 is an equidigital number, since it uses as much as digits as its factorization.

130513400125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044107216 (or 1044107206 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 130513400125 its reverse (521004315031), we get a palindrome (651517715156).

The spelling of 130513400125 in words is "one hundred thirty billion, five hundred thirteen million, four hundred thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1044107201 5220536005 26102680025 130513400125