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22330013013 = 3471123155663
BaseRepresentation
bin10100110010111110…
…001111010101010101
32010122012212012020000
4110302332033111111
5331212440404023
614131441401513
71420233656520
oct246276172525
963565765200
1022330013013
11951978a310
1243b2339299
13214b32a969
14111b927bb7
158aa5ba243
hex532f8f555

22330013013 has 80 divisors (see below), whose sum is σ = 43396632576. Its totient is φ = 11095587360.

The previous prime is 22330013011. The next prime is 22330013089. The reversal of 22330013013 is 31031003322.

22330013013 is a `hidden beast` number, since 223 + 300 + 130 + 13 = 666.

It is not a de Polignac number, because 22330013013 - 21 = 22330013011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330013011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65620 + ... + 221282.

Almost surely, 222330013013 is an apocalyptic number.

22330013013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22330013013 is a deficient number, since it is larger than the sum of its proper divisors (21066619563).

22330013013 is a wasteful number, since it uses less digits than its factorization.

22330013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155716 (or 155707 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22330013013 its reverse (31031003322), we get a palindrome (53361016335).

The spelling of 22330013013 in words is "twenty-two billion, three hundred thirty million, thirteen thousand, thirteen".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 81 99 161 189 207 231 253 297 483 567 621 693 759 891 1449 1771 1863 2079 2277 4347 5313 6237 6831 13041 15939 20493 47817 143451 155663 466989 1089641 1400967 1712293 3268923 3580249 4202901 5136879 9806769 10740747 11986051 12608703 15410637 25061743 29420307 32222241 35958153 39382739 46231911 75185229 88260921 96666723 107874459 118148217 138695733 225555687 275679173 290000169 323623377 354444651 676667061 827037519 970870131 1063333953 2030001183 2481112557 3190001859 7443337671 22330013013