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2013214112 = 257132293019
BaseRepresentation
bin111011111111111…
…0011010110100000
312012022012212120122
41313333303112200
513110340322422
6531434055412
7100614015620
oct16777632640
95168185518
102013214112
11943452618
1248227a568
13261122b70
14151538880
15bbb22d42
hex77ff35a0

2013214112 has 96 divisors (see below), whose sum is σ = 4901097600. Its totient is φ = 792695808.

The previous prime is 2013214097. The next prime is 2013214163. The reversal of 2013214112 is 2114123102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665339 + ... + 668357.

It is an arithmetic number, because the mean of its divisors is an integer number (51053100).

Almost surely, 22013214112 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 2013214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450548800).

2013214112 is an abundant number, since it is smaller than the sum of its proper divisors (2887883488).

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

2013214112 is a wasteful number, since it uses less digits than its factorization.

2013214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2013214112 is about 44868.8545875644. The cubic root of 2013214112 is about 1262.6897508083.

Adding to 2013214112 its reverse (2114123102), we get a palindrome (4127337214).

The spelling of 2013214112 in words is "two billion, thirteen million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 229 364 416 458 728 916 1456 1603 1832 2912 2977 3019 3206 3664 5954 6038 6412 7328 11908 12076 12824 20839 21133 23816 24152 25648 39247 41678 42266 47632 48304 51296 78494 83356 84532 95264 96608 156988 166712 169064 274729 313976 333424 338128 549458 627952 666848 676256 691351 1098916 1255904 1382702 2197832 2765404 4395664 4839457 5530808 8791328 8987563 9678914 11061616 17975126 19357828 22123232 35950252 38715656 62912941 71900504 77431312 125825882 143801008 154862624 251651764 287602016 503303528 1006607056 2013214112