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22013344334241 = 3213673461811379
BaseRepresentation
bin1010000000101011000011…
…00100011100000110100001
32212221110021211000202212100
411000111201210130012201
510341131312122143431
6114452442450321013
74431261123343341
oct500254144340641
985843254022770
1022013344334241
117017896a98727
122576400589169
13c38b0736b170
145616470aad21
1528293e6304e6
hex14056191c1a1

22013344334241 has 48 divisors (see below), whose sum is σ = 34764153802560. Its totient is φ = 13340612165760.

The previous prime is 22013344334227. The next prime is 22013344334243. The reversal of 22013344334241 is 14243344331022.

22013344334241 is a `hidden beast` number, since 2 + 2 + 0 + 133 + 443 + 3 + 42 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22013344334241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22013344334196 and 22013344334205.

It is not an unprimeable number, because it can be changed into a prime (22013344334243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26725090 + ... + 27536468.

It is an arithmetic number, because the mean of its divisors is an integer number (724253204220).

Almost surely, 222013344334241 is an apocalyptic number.

It is an amenable number.

22013344334241 is a deficient number, since it is larger than the sum of its proper divisors (12750809468319).

22013344334241 is a wasteful number, since it uses less digits than its factorization.

22013344334241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814926 (or 814923 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 22013344334241 its reverse (14243344331022), we get a palindrome (36256688665263).

The spelling of 22013344334241 in words is "twenty-two trillion, thirteen billion, three hundred forty-four million, three hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 67 117 201 603 871 2613 3461 7839 10383 31149 44993 134979 231887 404937 695661 811379 2086983 2434137 3014531 7302411 9043593 10547927 27130779 31643781 54362393 94931343 163087179 489261537 706711109 2120133327 2808182719 6360399981 8424548157 25273644471 36506375347 109519126041 188148242173 328557378123 564444726519 1693334179557 2445927148249 7337781444747 22013344334241