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2133031131 = 337113113299
BaseRepresentation
bin111111100100011…
…0111100011011011
312111122200012122000
41333020313203123
513332023444011
6551354132043
7103600315440
oct17710674333
95448605560
102133031131
119a5049950
124b6421023
1327cbb46ca
141634079c7
15c73de356
hex7f2378db

2133031131 has 64 divisors (see below), whose sum is σ = 3953664000. Its totient is φ = 1104170400.

The previous prime is 2133031129. The next prime is 2133031141. The reversal of 2133031131 is 1311303312.

It is a happy number.

2133031131 is a `hidden beast` number, since 21 + 330 + 311 + 3 + 1 = 666.

It is not a de Polignac number, because 2133031131 - 21 = 2133031129 is a prime.

It is a super-2 number, since 2×21330311312 = 9099643611630278322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133031111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644920 + ... + 648218.

It is an arithmetic number, because the mean of its divisors is an integer number (61776000).

Almost surely, 22133031131 is an apocalyptic number.

2133031131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2133031131 is a deficient number, since it is larger than the sum of its proper divisors (1820632869).

2133031131 is a wasteful number, since it uses less digits than its factorization.

2133031131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133031131 is about 46184.7499830842. The cubic root of 2133031131 is about 1287.2583905318.

Adding to 2133031131 its reverse (1311303312), we get a palindrome (3444334443).

The spelling of 2133031131 in words is "two billion, one hundred thirty-three million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 311 693 933 2079 2177 2799 3299 3421 6531 8397 9897 10263 19593 23093 23947 29691 30789 36289 58779 69279 71841 89073 92367 108867 207837 215523 254023 326601 623511 646569 762069 979803 1025989 2286207 3077967 6858621 7181923 9233901 11285879 21545769 27701703 33857637 64637307 79001153 101572911 193911921 237003459 304718733 711010377 2133031131