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21022220120 = 23511432394649
BaseRepresentation
bin10011100101000001…
…011001111101011000
32000021002000102122012
4103211001121331120
5321023142020440
613354003045052
71342643631326
oct234501317530
960232012565
1021022220120
118a0854a140
1240a8370788
131ca03c4905
141035d78d16
1583088ae65
hex4e5059f58

21022220120 has 128 divisors (see below), whose sum is σ = 53032320000. Its totient is φ = 7433825280.

The previous prime is 21022220083. The next prime is 21022220159. The reversal of 21022220120 is 2102222012.

It is a junction number, because it is equal to n+sod(n) for n = 21022220095 and 21022220104.

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 31 ways as a sum of consecutive naturals, for example, 4519556 + ... + 4524204.

It is an arithmetic number, because the mean of its divisors is an integer number (414315000).

Almost surely, 221022220120 is an apocalyptic number.

21022220120 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 21022220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160000).

21022220120 is an abundant number, since it is smaller than the sum of its proper divisors (32010099880).

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

21022220120 is a wasteful number, since it uses less digits than its factorization.

21022220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21022220120 its reverse (2102222012), we get a palindrome (23124442132).

It can be divided in two parts, 21022 and 220120, that added together give a palindrome (241142).

The spelling of 21022220120 in words is "twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 239 344 430 440 473 478 860 946 956 1195 1720 1892 1912 2365 2390 2629 3784 4649 4730 4780 5258 9298 9460 9560 10277 10516 13145 18596 18920 20554 21032 23245 26290 37192 41108 46490 51139 51385 52580 82216 92980 102278 102770 105160 113047 185960 199907 204556 205540 226094 255695 399814 409112 411080 452188 511390 565235 799628 904376 999535 1022780 1111111 1130470 1599256 1999070 2045560 2198977 2222222 2260940 3998140 4397954 4444444 4521880 5555555 7996280 8795908 8888888 10994885 11111110 12222221 17591816 21989770 22222220 24444442 43979540 44444440 47777773 48888884 61111105 87959080 95555546 97777768 122222210 191111092 238888865 244444420 382222184 477777730 488888840 525555503 955555460 1051111006 1911110920 2102222012 2627777515 4204444024 5255555030 10511110060 21022220120