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22021112202120 = 23325157389616281
BaseRepresentation
bin1010000000111001100001…
…00100100000001110001000
32212222012100011122100100200
411000130300210200032020
510341243214210431440
6114500205334532200
74431654455210433
oct500346044401610
985865304570320
1022021112202120
117020112826849
122577a09b07060
13c397747866a5
14561b829ca81a
15282c46575c30
hex140730920388

22021112202120 has 96 divisors (see below), whose sum is σ = 72024465890520. Its totient is φ = 5834893409280.

The previous prime is 22021112202071. The next prime is 22021112202137. The reversal of 22021112202120 is 2120221112022.

It is a happy number.

22021112202120 is a `hidden beast` number, since 2 + 20 + 211 + 1 + 220 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20961764873604 + 1059347328516 = 4578402^2 + 1029246^2 .

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 = 22021112202093 and 22021112202102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194751621 + ... + 194864660.

Almost surely, 222021112202120 is an apocalyptic number.

22021112202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021112202120 is an abundant number, since it is smaller than the sum of its proper divisors (50003353688400).

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

22021112202120 is a wasteful number, since it uses less digits than its factorization.

22021112202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389616455 (or 389616448 counting only the distinct ones).

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

Adding to 22021112202120 its reverse (2120221112022), we get a palindrome (24141333314142).

The spelling of 22021112202120 in words is "twenty-two trillion, twenty-one billion, one hundred twelve 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 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 389616281 779232562 1168848843 1558465124 1948081405 2337697686 3116930248 3506546529 3896162810 4675395372 5844244215 7013093058 7792325620 9350790744 11688488430 14026186116 15584651240 17532732645 23376976860 28052372232 35065465290 46753953720 61169756117 70130930580 122339512234 140261861160 183509268351 244679024468 305848780585 367018536702 489358048936 550527805053 611697561170 734037073404 917546341755 1101055610106 1223395122340 1468074146808 1835092683510 2202111220212 2446790244680 2752639025265 3670185367020 4404222440424 5505278050530 7340370734040 11010556101060 22021112202120