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23221313230104 = 2334113738733941
BaseRepresentation
bin1010100011110101000100…
…01000000101010100011000
310001012221021020121201220000
411101322202020011110120
511020424222141330404
6121215420220133000
74614453534502053
oct521724210052430
9101187236551800
1023221313230104
117443115a38170
122730542997160
13cc59b68c8562
145a3cbbac3a9a
152a408dc20339
hex151ea2205518

23221313230104 has 160 divisors (see below), whose sum is σ = 71144246028240. Its totient is φ = 7017895468800.

The previous prime is 23221313230061. The next prime is 23221313230109. The reversal of 23221313230104 is 40103231312232.

23221313230104 is a `hidden beast` number, since 2 + 3 + 221 + 3 + 132 + 301 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221313230109) 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 39 ways as a sum of consecutive naturals, for example, 1708227 + ... + 7025714.

Almost surely, 223221313230104 is an apocalyptic number.

23221313230104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23221313230104 is an abundant number, since it is smaller than the sum of its proper divisors (47922932798136).

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

23221313230104 is a wasteful number, since it uses less digits than its factorization.

23221313230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734343 (or 8734330 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23221313230104 its reverse (40103231312232), we get a palindrome (63324544542336).

The spelling of 23221313230104 in words is "twenty-three trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 373 396 594 648 746 792 891 1119 1188 1492 1782 2238 2376 2984 3357 3564 4103 4476 6714 7128 8206 8952 10071 12309 13428 16412 20142 24618 26856 30213 32824 36927 40284 49236 60426 73854 80568 98472 110781 120852 147708 221562 241704 295416 332343 443124 664686 886248 1329372 2658744 8733941 17467882 26201823 34935764 52403646 69871528 78605469 96073351 104807292 157210938 192146702 209614584 235816407 288220053 314421876 384293404 471632814 576440106 628843752 707449221 768586808 864660159 943265628 1152880212 1414898442 1729320318 1886531256 2305760424 2593980477 2829796884 3257759993 3458640636 5187960954 5659593768 6515519986 6917281272 7781941431 9773279979 10375921908 13031039972 15563882862 19546559958 20751843816 26062079944 29319839937 31127765724 35835359923 39093119916 58639679874 62255531448 71670719846 78186239832 87959519811 107506079769 117279359748 143341439692 175919039622 215012159538 234558719496 263878559433 286682879384 322518239307 351838079244 430024319076 527757118866 645036478614 703676158488 860048638152 967554717921 1055514237732 1290072957228 1935109435842 2111028475464 2580145914456 2902664153763 3870218871684 5805328307526 7740437743368 11610656615052 23221313230104