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21022111122120 = 2332572997799961
BaseRepresentation
bin1001100011110100101110…
…11101110100001011001000
32202102200202001212022111200
410301322113131310023020
510223411240421401440
6112413231410424200
74266540340143543
oct461722735641310
982380661768450
1021022111122120
116775477757279
122436286592060
13b964b843a594
145296930cd85a
15266c7787ac30
hex131e977742c8

21022111122120 has 96 divisors (see below), whose sum is σ = 68322882508920. Its totient is φ = 5605812495360.

The previous prime is 21022111122037. The next prime is 21022111122149. The reversal of 21022111122120 is 2122111122012.

21022111122120 is a `hidden beast` number, since 210 + 2 + 211 + 1 + 1 + 221 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8731351272996 + 12290759849124 = 2954886^2 + 3505818^2 .

It is a super-2 number, since 2×210221111221202 (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 junction number, because it is equal to n+sod(n) for n = 21022111122093 and 21022111122102.

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 23 ways as a sum of consecutive naturals, for example, 25878940 + ... + 26678900.

Almost surely, 221022111122120 is an apocalyptic number.

21022111122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022111122120 is an abundant number, since it is smaller than the sum of its proper divisors (47300771386800).

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

21022111122120 is a wasteful number, since it uses less digits than its factorization.

21022111122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872975 (or 872968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21022111122120 its reverse (2122111122012), we get a palindrome (23144222244132).

The spelling of 21022111122120 in words is "twenty-one trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 72997 145994 218991 291988 364985 437982 583976 656973 729970 799961 875964 1094955 1313946 1459940 1599922 1751928 2189910 2399883 2627892 2919880 3199844 3284865 3999805 4379820 4799766 5255784 6399688 6569730 7199649 7999610 8759640 9599532 11999415 13139460 14399298 15999220 19199064 23998830 26278920 28798596 31998440 35998245 47997660 57597192 71996490 95995320 143992980 287985960 58394753117 116789506234 175184259351 233579012468 291973765585 350368518702 467158024936 525552778053 583947531170 700737037404 875921296755 1051105556106 1167895062340 1401474074808 1751842593510 2102211112212 2335790124680 2627763890265 3503685187020 4204422224424 5255527780530 7007370374040 10511055561060 21022111122120