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2013023412 = 2232411363837
BaseRepresentation
bin111011111111100…
…0100110010110100
312012021212011222200
41313333010302310
513110313222122
6531430024500
7100612262631
oct16777046264
95167764880
102013023412
11943332314
124821a8130
1326108711a
141514c9188
15bbad65ac
hex77fc4cb4

2013023412 has 36 divisors (see below), whose sum is σ = 5212588836. Its totient is φ = 654641280.

The previous prime is 2013023407. The next prime is 2013023413. The reversal of 2013023412 is 2143203102.

2013023412 is a `hidden beast` number, since 20 + 1 + 302 + 341 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 599564196 + 1413459216 = 24486^2 + 37596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013023413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680443 + ... + 683394.

Almost surely, 22013023412 is an apocalyptic number.

It is an amenable number.

2013023412 is an abundant number, since it is smaller than the sum of its proper divisors (3199565424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013023412 is a wasteful number, since it uses less digits than its factorization.

2013023412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363888 (or 1363883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013023412 is about 44866.7294551319. The cubic root of 2013023412 is about 1262.6498804773.

Adding to 2013023412 its reverse (2143203102), we get a palindrome (4156226514).

The spelling of 2013023412 in words is "two billion, thirteen million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1363837 2727674 4091511 5455348 8183022 12274533 16366044 24549066 49098132 55917317 111834634 167751951 223669268 335503902 503255853 671007804 1006511706 2013023412