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22022111202120 = 2332561172531117
BaseRepresentation
bin1010000000111011011000…
…00111011000101101001000
32212222021220210102210201200
411000131230013120231020
510341302240431431440
6114500452422544200
74432021305445041
oct500355407305510
985867823383650
1022022111202120
117020585727287
122578048598060
13c398a3733653
14561c395578c8
15282ca410ac30
hex14076c1d8b48

22022111202120 has 48 divisors (see below), whose sum is σ = 71571861408060. Its totient is φ = 5872562987136.

The previous prime is 22022111202067. The next prime is 22022111202199. The reversal of 22022111202120 is 2120211122022.

It is a happy number.

22022111202120 is a `hidden beast` number, since 220 + 2 + 211 + 1 + 20 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22012780801284 + 9330400836 = 4691778^2 + 96594^2 .

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 = 22022111202093 and 22022111202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30586265199 + ... + 30586265918.

Almost surely, 222022111202120 is an apocalyptic number.

22022111202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022111202120 is an abundant number, since it is smaller than the sum of its proper divisors (49549750205940).

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

22022111202120 is a wasteful number, since it uses less digits than its factorization.

22022111202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61172531134 (or 61172531127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22022111202120 its reverse (2120211122022), we get a palindrome (24142322324142).

The spelling of 22022111202120 in words is "twenty-two trillion, twenty-two billion, one hundred eleven million, two hundred 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 61172531117 122345062234 183517593351 244690124468 305862655585 367035186702 489380248936 550552780053 611725311170 734070373404 917587966755 1101105560106 1223450622340 1468140746808 1835175933510 2202211120212 2446901244680 2752763900265 3670351867020 4404422240424 5505527800530 7340703734040 11011055601060 22022111202120