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2013012414 = 232726313617
BaseRepresentation
bin111011111111100…
…0010000110111110
312012021211121220100
41313333002012332
513110312344124
6531425501530
7100612215600
oct16777020676
95167747810
102013012414
11943325026
124821a18a6
1326108210a
141514c5170
15bbad31c9
hex77fc21be

2013012414 has 72 divisors (see below), whose sum is σ = 5083058448. Its totient is φ = 574076160.

The previous prime is 2013012403. The next prime is 2013012427. The reversal of 2013012414 is 4142103102.

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

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, 554734 + ... + 558350.

It is an arithmetic number, because the mean of its divisors is an integer number (70598034).

Almost surely, 22013012414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013012414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541529224).

2013012414 is an abundant number, since it is smaller than the sum of its proper divisors (3070046034).

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

2013012414 is a wasteful number, since it uses less digits than its factorization.

2013012414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013012414 is about 44866.6068919859. The cubic root of 2013012414 is about 1262.6475810093.

Adding to 2013012414 its reverse (4142103102), we get a palindrome (6155115516).

The spelling of 2013012414 in words is "two billion, thirteen million, twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 631 882 1262 1893 3617 3786 4417 5679 7234 8834 10851 11358 13251 21702 25319 26502 30919 32553 39753 50638 61838 65106 75957 79506 92757 151914 177233 185514 227871 278271 354466 455742 531699 556542 1063398 1595097 2282327 3190194 4564654 6846981 13693962 15976289 20540943 31952578 41081886 47928867 95857734 111834023 143786601 223668046 287573202 335502069 671004138 1006506207 2013012414