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20221113010014 = 2347291673681947
BaseRepresentation
bin1001001100100000110000…
…10000100000011101011110
32122121010020010121020010000
410212100120100200131132
510122300314412310024
6111001241233155130
74154633013422640
oct446203020403536
978533203536100
1020221113010014
1164967a9149144
122326ba19bbaa6
13b38ac5765137
144dc9c838c890
15250ee6b2bcc9
hex12641842075e

20221113010014 has 160 divisors (see below), whose sum is σ = 53889580039680. Its totient is φ = 5544833942592.

The previous prime is 20221113009989. The next prime is 20221113010027. The reversal of 20221113010014 is 41001031112202.

It is a super-2 number, since 2×202211130100142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3650989 + ... + 7332935.

It is an arithmetic number, because the mean of its divisors is an integer number (336809875248).

Almost surely, 220221113010014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221113010014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26944790019840).

20221113010014 is an abundant number, since it is smaller than the sum of its proper divisors (33668467029666).

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

20221113010014 is a wasteful number, since it uses less digits than its factorization.

20221113010014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682164 (or 3682155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20221113010014 its reverse (41001031112202), we get a palindrome (61222144122216).

The spelling of 20221113010014 in words is "twenty trillion, two hundred twenty-one billion, one hundred thirteen million, ten thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 167 174 189 203 261 334 378 406 501 522 567 609 783 1002 1134 1169 1218 1503 1566 1827 2338 2349 3006 3507 3654 4509 4698 4843 5481 7014 9018 9686 10521 10962 13527 14529 16443 21042 27054 29058 31563 32886 33901 43587 63126 67802 87174 94689 101703 130761 189378 203406 261522 305109 392283 610218 784566 915327 1830654 2745981 3681947 5491962 7363894 11045841 22091682 25773629 33137523 51547258 66275046 77320887 99412569 106776463 154641774 198825138 213552926 231962661 298237707 320329389 463925322 596475414 614885149 640658778 695887983 747435241 960988167 1229770298 1391775966 1494870482 1844655447 1921976334 2087663949 2242305723 2882964501 3689310894 4175327898 4304196043 4484611446 5533966341 5765929002 6726917169 8608392086 8648893503 11067932682 12912588129 13453834338 16601899023 17297787006 17831669321 20180751507 25825176258 33203798046 35663338642 38737764387 40361503014 49805697069 53495007963 60542254521 77475528774 99611394138 106990015926 116213293161 121084509042 124821685247 160485023889 232426586322 249643370494 320970047778 348639879483 374465055741 481455071667 697279758966 748930111482 962910143334 1123395167223 1444365215001 2246790334446 2888730430002 3370185501669 6740371003338 10110556505007 20221113010014