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20012101122020 = 2257310932668999
BaseRepresentation
bin1001000110011011011100…
…01011011011011111100100
32121212010201201212012100012
410203031232023123133210
510110334240341401040
6110321233215105352
74133553343613000
oct443155613333744
977763651765305
1020012101122020
1164160a2407127
1222b2590212258
13b22196392977
144d283b47d700
1524a86242d865
hex12336e2db7e4

20012101122020 has 96 divisors (see below), whose sum is σ = 49054084800000. Its totient is φ = 6855011759232.

The previous prime is 20012101121989. The next prime is 20012101122077. The reversal of 20012101122020 is 2022110121002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20012101121986 and 20012101122004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6163481 + ... + 8832479.

It is an arithmetic number, because the mean of its divisors is an integer number (510980050000).

Almost surely, 220012101122020 is an apocalyptic number.

20012101122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012101122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527042400000).

20012101122020 is an abundant number, since it is smaller than the sum of its proper divisors (29041983677980).

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

20012101122020 is a wasteful number, since it uses less digits than its factorization.

20012101122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670122 (or 2670106 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20012101122020 its reverse (2022110121002), we get a palindrome (22034211243022).

The spelling of 20012101122020 in words is "twenty trillion, twelve billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1093 1372 1715 2186 3430 4372 5465 6860 7651 10930 15302 21860 30604 38255 53557 76510 107114 153020 214228 267785 374899 535570 749798 1071140 1499596 1874495 2668999 3748990 5337998 7497980 10675996 13344995 18682993 26689990 37365986 53379980 74731972 93414965 130780951 186829930 261561902 373659860 523123804 653904755 915466657 1307809510 1830933314 2615619020 2917215907 3661866628 4577333285 5834431814 9154666570 11668863628 14586079535 18309333140 20420511349 29172159070 40841022698 58344318140 81682045396 102102556745 142943579443 204205113490 285887158886 408410226980 571774317772 714717897215 1000605056101 1429435794430 2001210112202 2858871588860 4002420224404 5003025280505 10006050561010 20012101122020