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2013315421 = 1331376689
BaseRepresentation
bin111100000000000…
…1100000101011101
312012022102000112211
41320000030011131
513110402043141
6531440200421
7100614620155
oct17000140535
95168360484
102013315421
11943511747
12482309111
1326115a000
14151563765
15bbb42d81
hex7800c15d

2013315421 has 16 divisors (see below), whose sum is σ = 2197263600. Its totient is φ = 1844603904.

The previous prime is 2013315407. The next prime is 2013315433. The reversal of 2013315421 is 1245133102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 938196900 + 1075118521 = 30630^2 + 32789^2 .

It is not a de Polignac number, because 2013315421 - 211 = 2013313373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013315392 and 2013315401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013315481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297645 + ... + 304333.

It is an arithmetic number, because the mean of its divisors is an integer number (137328975).

Almost surely, 22013315421 is an apocalyptic number.

It is an amenable number.

2013315421 is a deficient number, since it is larger than the sum of its proper divisors (183948179).

2013315421 is an equidigital number, since it uses as much as digits as its factorization.

2013315421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2013315421 is about 44869.9835190520. The cubic root of 2013315421 is about 1262.7109308192.

Adding to 2013315421 its reverse (1245133102), we get a palindrome (3258448523).

The spelling of 2013315421 in words is "two billion, thirteen million, three hundred fifteen thousand, four hundred twenty-one".

Divisors: 1 13 137 169 1781 2197 6689 23153 86957 300989 916393 1130441 11913109 14695733 154870417 2013315421