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2113413012 = 2233163271443
BaseRepresentation
bin111110111111000…
…0001111110010100
312110021202111122000
41331332001332110
513312013204022
6545413435300
7103241466654
oct17576017624
95407674560
102113413012
11994a6a527
124ab93bb30
13278b06059
1416097c364
15c58166ac
hex7df81f94

2113413012 has 96 divisors (see below), whose sum is σ = 5545666560. Its totient is φ = 695990880.

The previous prime is 2113412989. The next prime is 2113413023. The reversal of 2113413012 is 2103143112.

2113413012 is a `hidden beast` number, since 21 + 1 + 341 + 301 + 2 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4770463 + ... + 4770905.

It is an arithmetic number, because the mean of its divisors is an integer number (57767360).

Almost surely, 22113413012 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 2113413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772833280).

2113413012 is an abundant number, since it is smaller than the sum of its proper divisors (3432253548).

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

2113413012 is a wasteful number, since it uses less digits than its factorization.

2113413012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

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

The square root of 2113413012 is about 45971.8719653660. The cubic root of 2113413012 is about 1283.2997972833.

Adding to 2113413012 its reverse (2103143112), we get a palindrome (4216556124).

The spelling of 2113413012 in words is "two billion, one hundred thirteen million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 271 326 443 489 542 652 813 886 978 1084 1329 1467 1626 1772 1956 2439 2658 2934 3252 3987 4401 4878 5316 5868 7317 7974 8802 9756 11961 14634 15948 17604 23922 29268 44173 47844 72209 88346 120053 132519 144418 176692 216627 240106 265038 288836 360159 397557 433254 480212 530076 649881 720318 795114 866508 1080477 1192671 1299762 1440636 1590228 1949643 2160954 2385342 2599524 3241431 3899286 4321908 4770684 6482862 7798572 12965724 19568639 39137278 58705917 78274556 117411834 176117751 234823668 352235502 528353253 704471004 1056706506 2113413012