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13033122011 = 7131312634157
BaseRepresentation
bin11000010001101010…
…11010100011011011
31020122022010012022122
430020311122203123
5203142434401021
65553133011455
7640654465160
oct141065324333
936568105278
1013033122011
115588948518
122638923b8b
1312c91caa20
148b8d0c067
155142e5bab
hex308d5a8db

13033122011 has 32 divisors (see below), whose sum is σ = 16228574208. Its totient is φ = 10191841920.

The previous prime is 13033122001. The next prime is 13033122059. The reversal of 13033122011 is 11022133031.

13033122011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13033122011 - 26 = 13033121947 is a prime.

It is a super-2 number, since 2×130331220112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13033122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3133145 + ... + 3137301.

It is an arithmetic number, because the mean of its divisors is an integer number (507142944).

Almost surely, 213033122011 is an apocalyptic number.

13033122011 is a deficient number, since it is larger than the sum of its proper divisors (3195452197).

13033122011 is a wasteful number, since it uses less digits than its factorization.

13033122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13033122011 its reverse (11022133031), we get a palindrome (24055255042).

The spelling of 13033122011 in words is "thirteen billion, thirty-three million, one hundred twenty-two thousand, eleven".

Divisors: 1 7 13 91 131 263 917 1703 1841 3419 4157 11921 23933 29099 34453 54041 241171 378287 447889 544567 1093291 3135223 3811969 7079371 7653037 14212783 49555597 99489481 143221121 1002547847 1861874573 13033122011