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13310523325 = 5211240110973
BaseRepresentation
bin11000110010101111…
…00111011110111101
31021100122002122101101
430121113213132331
5204224443221300
610040442413101
7650563403311
oct143127473675
937318078341
1013310523325
115710497200
1226b5801191
131341815608
14903abbb41
1552d83db6a
hex3195e77bd

13310523325 has 36 divisors (see below), whose sum is σ = 18188812404. Its totient is φ = 9655360000.

The previous prime is 13310523287. The next prime is 13310523341. The reversal of 13310523325 is 52332501331.

It can be written as a sum of positive squares in 6 ways, for example, as 706868569 + 12603654756 = 26587^2 + 112266^2 .

It is not a de Polignac number, because 13310523325 - 211 = 13310521277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13310523293 and 13310523302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1207539 + ... + 1218511.

It is an arithmetic number, because the mean of its divisors is an integer number (505244789).

Almost surely, 213310523325 is an apocalyptic number.

It is an amenable number.

13310523325 is a deficient number, since it is larger than the sum of its proper divisors (4878289079).

13310523325 is a wasteful number, since it uses less digits than its factorization.

13310523325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

It can be divided in two parts, 13310 and 523325, that added together give a palindrome (536635).

The spelling of 13310523325 in words is "thirteen billion, three hundred ten million, five hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 401 605 2005 3025 4411 10025 10973 22055 48521 54865 110275 120703 242605 274325 603515 1213025 1327733 3017575 4400173 6638665 22000865 33193325 48401903 110004325 242009515 532420933 1210047575 2662104665 13310523325