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2133023112 = 2333116114717
BaseRepresentation
bin111111100100011…
…0101100110001000
312111122122210122000
41333020311212020
513332023214422
6551354031000
7103600253163
oct17710654610
95448583560
102133023112
119a5043920
124b6418460
1327cbb0b6c
14163404ada
15c73dbcac
hex7f235988

2133023112 has 128 divisors (see below), whose sum is σ = 6570115200. Its totient is φ = 635731200.

The previous prime is 2133023111. The next prime is 2133023119. The reversal of 2133023112 is 2113203312.

2133023112 is a `hidden beast` number, since 21 + 330 + 2 + 311 + 2 = 666.

2133023112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (2133023111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137578 + ... + 152294.

It is an arithmetic number, because the mean of its divisors is an integer number (51329025).

Almost surely, 22133023112 is an apocalyptic number.

2133023112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285057600).

2133023112 is an abundant number, since it is smaller than the sum of its proper divisors (4437092088).

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

2133023112 is a wasteful number, since it uses less digits than its factorization.

2133023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2133023112 is about 46184.6631686321. The cubic root of 2133023112 is about 1287.2567774068.

Adding to 2133023112 its reverse (2113203312), we get a palindrome (4246226424).

The spelling of 2133023112 in words is "two billion, one hundred thirty-three million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 88 99 108 122 132 183 198 216 244 264 297 366 396 488 549 594 671 732 792 1098 1188 1342 1464 1647 2013 2196 2376 2684 3294 4026 4392 5368 6039 6588 8052 12078 13176 14717 16104 18117 24156 29434 36234 44151 48312 58868 72468 88302 117736 132453 144936 161887 176604 264906 323774 353208 397359 485661 529812 647548 794718 897737 971322 1059624 1295096 1456983 1589436 1795474 1942644 2693211 2913966 3178872 3590948 3885288 4370949 5386422 5827932 7181896 8079633 8741898 9875107 10772844 11655864 16159266 17483796 19750214 21545688 24238899 29625321 32318532 34967592 39500428 48477798 59250642 64637064 79000856 88875963 96955596 118501284 177751926 193911192 237002568 266627889 355503852 533255778 711007704 1066511556 2133023112