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2133242112 = 28314831873
BaseRepresentation
bin111111100100110…
…1011000100000000
312111200001221001010
41333021223010000
513332102221422
6551402440520
7103602154521
oct17711530400
95450057033
102133242112
119a5183411
124b6503140
1327cc59751
14163460848
15c7431b0c
hex7f26b100

2133242112 has 72 divisors (see below), whose sum is σ = 5684396704. Its totient is φ = 710221824.

The previous prime is 2133242087. The next prime is 2133242123. The reversal of 2133242112 is 2112423312.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138008 + ... + 1139880.

Almost surely, 22133242112 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 2133242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842198352).

2133242112 is an abundant number, since it is smaller than the sum of its proper divisors (3551154592).

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

2133242112 is a wasteful number, since it uses less digits than its factorization.

2133242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3361 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2133242112 is about 46187.0340247130. The cubic root of 2133242112 is about 1287.3008306233.

Adding to 2133242112 its reverse (2112423312), we get a palindrome (4245665424).

The spelling of 2133242112 in words is "two billion, one hundred thirty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1483 1873 2966 3746 4449 5619 5932 7492 8898 11238 11864 14984 17796 22476 23728 29968 35592 44952 47456 59936 71184 89904 94912 119872 142368 179808 189824 239744 284736 359616 379648 479488 569472 719232 1138944 1438464 2777659 5555318 8332977 11110636 16665954 22221272 33331908 44442544 66663816 88885088 133327632 177770176 266655264 355540352 533310528 711080704 1066621056 2133242112