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2013210312 = 233177017039
BaseRepresentation
bin111011111111111…
…0010011011001000
312012022012200100220
41313333302123020
513110340212222
6531434030040
7100614001551
oct16777623310
95168180326
102013210312
1194344a783
12482278320
13261121209
14151537328
15bbb21b5c
hex77ff26c8

2013210312 has 64 divisors (see below), whose sum is σ = 5337446400. Its totient is φ = 630604800.

The previous prime is 2013210281. The next prime is 2013210317. The reversal of 2013210312 is 2130123102.

It is a junction number, because it is equal to n+sod(n) for n = 2013210291 and 2013210300.

It is not an unprimeable number, because it can be changed into a prime (2013210317) 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, 282489 + ... + 289527.

It is an arithmetic number, because the mean of its divisors is an integer number (83397600).

Almost surely, 22013210312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668723200).

2013210312 is an abundant number, since it is smaller than the sum of its proper divisors (3324236088).

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

2013210312 is a wasteful number, since it uses less digits than its factorization.

2013210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013210312 is about 44868.8122419125. The cubic root of 2013210312 is about 1262.6889563533.

Adding to 2013210312 its reverse (2130123102), we get a palindrome (4143333414).

The spelling of 2013210312 in words is "two billion, thirteen million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 701 1402 2103 2804 4206 5608 7039 8412 11917 14078 16824 21117 23834 28156 35751 42234 47668 56312 71502 84468 95336 119663 143004 168936 239326 286008 358989 478652 717978 957304 1435956 2871912 4934339 9868678 14803017 19737356 29606034 39474712 59212068 83883763 118424136 167767526 251651289 335535052 503302578 671070104 1006605156 2013210312