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20012200111110 = 23517293751178327
BaseRepresentation
bin1001000110011011101000…
…00101000010110000000110
32121212010222122010100211210
410203031310011002300012
510110334441212023420
6110321251112512250
74133555655164634
oct443156405026006
977763878110753
1020012200111110
116416143278099
1222b25b93ab686
13b221b0a412ac
144d284a68a354
1524a86ae839e0
hex123374142c06

20012200111110 has 128 divisors (see below), whose sum is σ = 51096330399744. Its totient is φ = 4998834432000.

The previous prime is 20012200111081. The next prime is 20012200111117. The reversal of 20012200111110 is 1111100221002.

It is a super-2 number, since 2×200122001111102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012200111117) 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 63 ways as a sum of consecutive naturals, for example, 112132767 + ... + 112311093.

It is an arithmetic number, because the mean of its divisors is an integer number (399190081248).

Almost surely, 220012200111110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012200111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25548165199872).

20012200111110 is an abundant number, since it is smaller than the sum of its proper divisors (31084130288634).

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

20012200111110 is a wasteful number, since it uses less digits than its factorization.

20012200111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179398.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20012200111110 its reverse (1111100221002), we get a palindrome (21123300332112).

The spelling of 20012200111110 in words is "twenty trillion, twelve billion, two hundred million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 293 510 586 751 879 1465 1502 1758 2253 2930 3755 4395 4506 4981 7510 8790 9962 11265 12767 14943 22530 24905 25534 29886 38301 49810 63835 74715 76602 127670 149430 178327 191505 220043 356654 383010 440086 534981 660129 891635 1069962 1100215 1320258 1783270 2200430 2674905 3031559 3300645 3740731 5349810 6063118 6601290 7481462 9094677 11222193 15157795 18189354 18703655 22444386 30315590 37407310 45473385 52249811 56110965 90946770 104499622 112221930 133923577 156749433 261249055 267847154 313498866 401770731 522498110 669617885 783747165 803541462 888246787 1339235770 1567494330 1776493574 2008853655 2276700809 2664740361 4017707310 4441233935 4553401618 5329480722 6830102427 8882467870 11383504045 13323701805 13660204854 22767008090 26647403610 34150512135 39239608061 68301024270 78479216122 117718824183 196198040305 235437648366 392396080610 588594120915 667073337037 1177188241830 1334146674074 2001220011111 3335366685185 4002440022222 6670733370370 10006100055555 20012200111110