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13531145125 = 53375355201
BaseRepresentation
bin11001001101000010…
…01110001110100101
31021221000020101121011
430212201032032211
5210202433121000
610114403222221
7656212556461
oct144641161645
937830211534
1013531145125
115813a84673
122757677971
131378440064
1492510b4a1
15542dbd2ba
hex32684e3a5

13531145125 has 32 divisors (see below), whose sum is σ = 17670822624. Its totient is φ = 10333440000.

The previous prime is 13531145071. The next prime is 13531145141. The reversal of 13531145125 is 52154113531.

It can be written as a sum of positive squares in 16 ways, for example, as 9100778404 + 4430366721 = 95398^2 + 66561^2 .

It is not a de Polignac number, because 13531145125 - 231 = 11383661477 is a prime.

It is a super-2 number, since 2×135311451252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217525 + ... + 272725.

It is an arithmetic number, because the mean of its divisors is an integer number (552213207).

Almost surely, 213531145125 is an apocalyptic number.

It is an amenable number.

13531145125 is a deficient number, since it is larger than the sum of its proper divisors (4139677499).

13531145125 is an equidigital number, since it uses as much as digits as its factorization.

13531145125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55306 (or 55296 counting only the distinct ones).

The product of its digits is 9000, while the sum is 31.

Adding to 13531145125 its reverse (52154113531), we get a palindrome (65685258656).

The spelling of 13531145125 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 37 53 125 185 265 925 1325 1961 4625 6625 9805 49025 55201 245125 276005 1380025 2042437 2925653 6900125 10212185 14628265 51060925 73141325 108249161 255304625 365706625 541245805 2706229025 13531145125