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22013200231022 = 27111310995604511
BaseRepresentation
bin1010000000101010110001…
…11110101110101001101110
32212221102220202212120102002
411000111120332232221232
510341131013224343042
6114452420301532302
74431254423443340
oct500253076565156
985842822776362
1022013200231022
117017822713860
122576380274092
13c38ab35552a0
14561631cb9290
15282931b68132
hex140558faea6e

22013200231022 has 32 divisors (see below), whose sum is σ = 44334277392384. Its totient is φ = 7916835247200.

The previous prime is 22013200231019. The next prime is 22013200231049.

It is a happy number.

22013200231022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220132002310222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22013200230985 and 22013200231003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5497800254 + ... + 5497804257.

It is an arithmetic number, because the mean of its divisors is an integer number (1385446168512).

Almost surely, 222013200231022 is an apocalyptic number.

22013200231022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22013200231022 is an abundant number, since it is smaller than the sum of its proper divisors (22321077161362).

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

22013200231022 is a wasteful number, since it uses less digits than its factorization.

22013200231022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995604544.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 22013200 and 231022, that added together give a palindrome (22244222).

The spelling of 22013200231022 in words is "twenty-two trillion, thirteen billion, two hundred million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 10995604511 21991209022 76969231577 120951649621 142942858643 153938463154 241903299242 285885717286 846661547347 1000600010501 1572371445073 1693323094694 2001200021002 3144742890146 11006600115511 22013200231022