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13300222013 = 137757131893
BaseRepresentation
bin11000110001100000…
…10100100000111101
31021022220201021122022
430120300110200331
5204214324101023
610035433525525
7650410010321
oct143060244075
937286637568
1013300222013
1157056a0721
1226b22738a5
13133c649870
14902599981
1552c9a67c8
hex318c1483d

13300222013 has 8 divisors (see below), whose sum is σ = 14325271128. Its totient is φ = 12275452224.

The previous prime is 13300221971. The next prime is 13300222021. The reversal of 13300222013 is 31022200331.

It can be written as a sum of positive squares in 4 ways, for example, as 1278634564 + 12021587449 = 35758^2 + 109643^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13300222013 - 216 = 13300156477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13300221982 and 13300222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300222043) 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, 34895 + ... + 166787.

It is an arithmetic number, because the mean of its divisors is an integer number (1790658891).

Almost surely, 213300222013 is an apocalyptic number.

13300222013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13300222013 is a deficient number, since it is larger than the sum of its proper divisors (1025049115).

13300222013 is a wasteful number, since it uses less digits than its factorization.

13300222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139663.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13300222013 its reverse (31022200331), we get a palindrome (44322422344).

The spelling of 13300222013 in words is "thirteen billion, three hundred million, two hundred twenty-two thousand, thirteen".

Divisors: 1 13 7757 100841 131893 1714609 1023094001 13300222013