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13332010013 = 72272081837
BaseRepresentation
bin11000110101010011…
…00101010000011101
31021102010112021120122
430122221211100131
5204300443310023
610042531124325
7651244133600
oct143251452035
937363467518
1013332010013
1157216324a3
122700a436a5
1313460c962a
149068b2337
155306852c8
hex31aa6541d

13332010013 has 6 divisors (see below), whose sum is σ = 15508664766. Its totient is φ = 11427437112.

The previous prime is 13332009997. The next prime is 13332010049. The reversal of 13332010013 is 31001023331.

It can be written as a sum of positive squares in only one way, i.e., 12742345924 + 589664089 = 112882^2 + 24283^2 .

It is not a de Polignac number, because 13332010013 - 24 = 13332009997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13332009973 and 13332010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332010093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136040870 + ... + 136040967.

It is an arithmetic number, because the mean of its divisors is an integer number (2584777461).

Almost surely, 213332010013 is an apocalyptic number.

It is an amenable number.

13332010013 is a deficient number, since it is larger than the sum of its proper divisors (2176654753).

13332010013 is an equidigital number, since it uses as much as digits as its factorization.

13332010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272081851 (or 272081844 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13332010013 its reverse (31001023331), we get a palindrome (44333033344).

The spelling of 13332010013 in words is "thirteen billion, three hundred thirty-two million, ten thousand, thirteen".

Divisors: 1 7 49 272081837 1904572859 13332010013