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13033133022 = 2371338961363
BaseRepresentation
bin11000010001101010…
…11101001111011110
31020122022010202102110
430020311131033132
5203142440224042
65553133134450
7640654542240
oct141065351736
936568122373
1013033133022
115588955818
12263892a426
1312c9202a40
148b8d12090
155142e909c
hex308d5d3de

13033133022 has 64 divisors (see below), whose sum is σ = 32164554240. Its totient is φ = 3428417664.

The previous prime is 13033132961. The next prime is 13033133027. The reversal of 13033133022 is 22033133031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13033133022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033133027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181713 + ... + 243075.

It is an arithmetic number, because the mean of its divisors is an integer number (502571160).

Almost surely, 213033133022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082277120).

13033133022 is an abundant number, since it is smaller than the sum of its proper divisors (19131421218).

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

13033133022 is a wasteful number, since it uses less digits than its factorization.

13033133022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61777.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13033133022 its reverse (22033133031), we get a palindrome (35066266053).

Subtracting 13033133022 from its reverse (22033133031), we obtain a palindrome (9000000009).

The spelling of 13033133022 in words is "thirteen billion, thirty-three million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 389 546 778 1167 2334 2723 5057 5446 8169 10114 15171 16338 30342 35399 61363 70798 106197 122726 184089 212394 368178 429541 797719 859082 1288623 1595438 2393157 2577246 4786314 5584033 11168066 16752099 23870207 33504198 47740414 71610621 143221242 167091449 310312691 334182898 501274347 620625382 930938073 1002548694 1861876146 2172188837 4344377674 6516566511 13033133022