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2133112014 = 232114724877
BaseRepresentation
bin111111100100100…
…1011010011001110
312111122211022120200
41333021023103032
513332034041024
6551355554330
7103601103315
oct17711132316
95448738520
102133112014
119a50a46a0
124b645b9a6
1327cc12477
1416342927c
15c74082c9
hex7f24b4ce

2133112014 has 72 divisors (see below), whose sum is σ = 5152514328. Its totient is φ = 632514720.

The previous prime is 2133112013. The next prime is 2133112063. The reversal of 2133112014 is 4102113312.

It is a super-2 number, since 2×21331120142 = 9100333728542272392, which contains 22 as substring.

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 (2133112013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 434944 + ... + 439820.

It is an arithmetic number, because the mean of its divisors is an integer number (71562699).

Almost surely, 22133112014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133112014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576257164).

2133112014 is an abundant number, since it is smaller than the sum of its proper divisors (3019402314).

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

2133112014 is a wasteful number, since it uses less digits than its factorization.

2133112014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2133112014 is about 46185.6256209657. The cubic root of 2133112014 is about 1287.2746609624.

Adding to 2133112014 its reverse (4102113312), we get a palindrome (6235225326).

The spelling of 2133112014 in words is "two billion, one hundred thirty-three million, one hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 2209 3102 4418 4653 4877 6627 9306 9754 13254 14631 19881 24299 29262 39762 43893 48598 53647 72897 87786 107294 145794 160941 218691 229219 321882 437382 458438 482823 687657 965646 1375314 2062971 2521409 4125942 5042818 7564227 10773293 15128454 21546586 22692681 32319879 45385362 64639758 96959637 118506223 193919274 237012446 355518669 711037338 1066556007 2133112014