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20012144121002 = 21141101271810581
BaseRepresentation
bin1001000110011011100001…
…01111011101010010101010
32121212010211201202202212002
410203031300233131102222
510110334332343333002
6110321241352451002
74133554405241315
oct443156057352252
977763751682762
1020012144121002
116416114705980
1222b25a26a9a62
13b221a2269557
144d284307397c
1524a8660c4002
hex123370bdd4aa

20012144121002 has 64 divisors (see below), whose sum is σ = 34003045956096. Its totient is φ = 8754264000000.

The previous prime is 20012144120987. The next prime is 20012144121029.

20012144121002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×200121441210022 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 24283352 + ... + 25093932.

It is an arithmetic number, because the mean of its divisors is an integer number (531297593064).

Almost surely, 220012144121002 is an apocalyptic number.

20012144121002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20012144121002 is a deficient number, since it is larger than the sum of its proper divisors (13990901835094).

20012144121002 is a wasteful number, since it uses less digits than its factorization.

20012144121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811007.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2001214 and 4121002, that added together give a palindrome (6122216).

The spelling of 20012144121002 in words is "twenty trillion, twelve billion, one hundred forty-four million, one hundred twenty-one thousand, two".

Divisors: 1 2 11 22 41 82 101 202 271 451 542 902 1111 2222 2981 4141 5962 8282 11111 22222 27371 45551 54742 91102 122221 244442 301081 602162 810581 1122211 1621162 2244422 8916391 12344321 17832782 24688642 33233821 66467642 81868681 163737362 219667451 365572031 439334902 731144062 900555491 1801110982 2416341961 3356615921 4832683922 6713231842 9006365491 18012730982 22186412551 36922775131 44372825102 73845550262 99070020401 198140040802 244050538061 488101076122 909642914591 1819285829182 10006072060501 20012144121002