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10222112022210 = 232511167523118219
BaseRepresentation
bin1001010011000000010101…
…0110110001111011000010
31100012020001120012001101100
42110300011112301323002
52314434341134202320
633423550132315230
72103344315363334
oct224600526617302
940166046161340
1010222112022210
11329119a823840
121191144772b16
13591c3058c2ba
14274a77bd1454
1512ad79772790
hex94c055b1ec2

10222112022210 has 192 divisors, whose sum is σ = 29223257656320. Its totient is φ = 2458518272640.

The previous prime is 10222112022209. The next prime is 10222112022259. The reversal of 10222112022210 is 1222021122201.

It is a happy number.

10222112022210 is a `hidden beast` number, since 10 + 22 + 211 + 202 + 221 + 0 = 666.

It is a super-2 number, since 2×102221120222102 (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 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 95 ways as a sum of consecutive naturals, for example, 86408481 + ... + 86526699.

It is an arithmetic number, because the mean of its divisors is an integer number (152204466960).

Almost surely, 210222112022210 is an apocalyptic number.

10222112022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222112022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611628828160).

10222112022210 is an abundant number, since it is smaller than the sum of its proper divisors (19001145634110).

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

10222112022210 is a wasteful number, since it uses less digits than its factorization.

10222112022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118933 (or 118930 counting only the distinct ones).

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

Adding to 10222112022210 its reverse (1222021122201), we get a palindrome (11444133144411).

Subtracting from 10222112022210 its reverse (1222021122201), we obtain a palindrome (9000090900009).

The spelling of 10222112022210 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, twenty-two thousand, two hundred ten".