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2133011322 = 2321312797127
BaseRepresentation
bin111111100100011…
…0010101101111010
312111122122012110100
41333020302231322
513332022330242
6551353500230
7103600203621
oct17710625572
95448565410
102133011322
119a5035a82
124b6411676
1327cba86a0
141634006b8
15c73d854c
hex7f232b7a

2133011322 has 48 divisors (see below), whose sum is σ = 4981616640. Its totient is φ = 655706016.

The previous prime is 2133011311. The next prime is 2133011359. The reversal of 2133011322 is 2231103312.

2133011322 is a `hidden beast` number, since 2 + 1 + 330 + 11 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2133011295 and 2133011304.

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 23 ways as a sum of consecutive naturals, for example, 295723 + ... + 302849.

It is an arithmetic number, because the mean of its divisors is an integer number (103783680).

Almost surely, 22133011322 is an apocalyptic number.

2133011322 is an abundant number, since it is smaller than the sum of its proper divisors (2848605318).

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

2133011322 is a wasteful number, since it uses less digits than its factorization.

2133011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8424 counting only the distinct ones).

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

The square root of 2133011322 is about 46184.5355286810. The cubic root of 2133011322 is about 1287.2544056892.

Adding to 2133011322 its reverse (2231103312), we get a palindrome (4364114634).

The spelling of 2133011322 in words is "two billion, one hundred thirty-three million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1279 2558 3837 7127 7674 11511 14254 16627 21381 23022 33254 42762 49881 64143 92651 99762 128286 149643 185302 277953 299286 555906 833859 1667718 9115433 18230866 27346299 54692598 82038897 118500629 164077794 237001258 355501887 711003774 1066505661 2133011322