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4133112012 = 22321743157057
BaseRepresentation
bin1111011001011010…
…0100100011001100
3101200001011211210200
43312112210203030
531431034041022
61522042533500
7204264605151
oct36626444314
911601154720
104133112012
111831041257
12974207290
1350b389813
142b2cc4228
15192cbabac
hexf65a48cc

4133112012 has 72 divisors (see below), whose sum is σ = 11319484176. Its totient is φ = 1266499584.

The previous prime is 4133111989. The next prime is 4133112017. The reversal of 4133112012 is 2102113314.

4133112012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41331120122 = 34165229807477376288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4133112017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52213 + ... + 104844.

It is an arithmetic number, because the mean of its divisors is an integer number (157215058).

Almost surely, 24133112012 is an apocalyptic number.

It is an amenable number.

4133112012 is an abundant number, since it is smaller than the sum of its proper divisors (7186372164).

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

4133112012 is a wasteful number, since it uses less digits than its factorization.

4133112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157127 (or 157122 counting only the distinct ones).

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

The square root of 4133112012 is about 64289.2838037569. The cubic root of 4133112012 is about 1604.8177718402.

Adding to 4133112012 its reverse (2102113314), we get a palindrome (6235225326).

The spelling of 4133112012 in words is "four billion, one hundred thirty-three million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 2193 2924 4386 6579 8772 13158 26316 157057 314114 471171 628228 942342 1413513 1884684 2669969 2827026 5339938 5654052 6753451 8009907 10679876 13506902 16019814 20260353 24029721 27013804 32039628 40520706 48059442 60781059 81041412 96118884 114808667 121562118 229617334 243124236 344426001 459234668 688852002 1033278003 1377704004 2066556006 4133112012