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220022212011021 = 33719337993158761
BaseRepresentation
bin110010000001101111101001…
…110010100010010000001101
31001212000220210020220122011000
4302001233221302202100031
5212314320442233323041
62055540450412050513
764226036344326150
oct6201575162422015
91055026706818130
10220022212011021
1164118994792a92
1220815941763a39
1395a000c2c5bb4
143c491bbc4dc97
151a68438e81bb6
hexc81be9ca240d

220022212011021 has 64 divisors (see below), whose sum is σ = 374466772810240. Its totient is φ = 125071463301120.

The previous prime is 220022212011011. The next prime is 220022212011029. The reversal of 220022212011021 is 120110212220022.

It is a happy number.

220022212011021 is a `hidden beast` number, since 220 + 0 + 2 + 221 + 201 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 220022212011021 - 218 = 220022211748877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220022212010985 and 220022212011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022212011029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1385791281 + ... + 1385950041.

It is an arithmetic number, because the mean of its divisors is an integer number (5851043325160).

Almost surely, 2220022212011021 is an apocalyptic number.

220022212011021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220022212011021 is a deficient number, since it is larger than the sum of its proper divisors (154444560799219).

220022212011021 is a wasteful number, since it uses less digits than its factorization.

220022212011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196963 (or 196957 counting only the distinct ones).

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

Adding to 220022212011021 its reverse (120110212220022), we get a palindrome (340132424231043).

The spelling of 220022212011021 in words is "two hundred twenty trillion, twenty-two billion, two hundred twelve million, eleven thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 189 193 579 1351 1737 4053 5211 12159 36477 37993 113979 158761 265951 341937 476283 797853 1025811 1111327 1428849 2393559 3333981 4286547 7180677 7332649 10001943 21997947 30005829 30640873 51328543 65993841 91922619 153985629 197981523 214486111 275767857 461956887 643458333 827303571 1385870661 1930374999 5791124997 6031806673 18095420019 42222646711 54286260057 126667940133 162858780171 380003820399 1140011461197 1164138687889 3492416063667 8148970815223 10477248191001 24446912445669 31431744573003 73340737337007 220022212011021