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222131011110021 = 32134229344890541
BaseRepresentation
bin110010100000011011101000…
…000000101100010010000101
31002010111111222002110101000100
4302200123220000230102011
5213103343302321010041
62104233324443234313
764534302350034456
oct6240335000542205
91063444862411010
10222131011110021
1164861261912212
1220ab658a218999
1396c3b31308850
143cbd2ac1db12d
151aa320d8de6b6
hexca06e802c485

222131011110021 has 24 divisors (see below), whose sum is σ = 345545306169336. Its totient is φ = 136692771672960.

The previous prime is 222131011109963. The next prime is 222131011110037. The reversal of 222131011110021 is 120011110131222.

It is a happy number.

222131011110021 is a `hidden beast` number, since 2 + 221 + 310 + 1 + 1 + 110 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4028651122500 + 218102359987521 = 2007150^2 + 14768289^2 .

It is not a de Polignac number, because 222131011110021 - 214 = 222131011093637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222131011109976 and 222131011110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222131011110061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17496990 + ... + 27393551.

It is an arithmetic number, because the mean of its divisors is an integer number (14397721090389).

Almost surely, 2222131011110021 is an apocalyptic number.

It is an amenable number.

222131011110021 is a deficient number, since it is larger than the sum of its proper divisors (123414295059315).

222131011110021 is a wasteful number, since it uses less digits than its factorization.

222131011110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44932853 (or 44932850 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 222131011110021 its reverse (120011110131222), we get a palindrome (342142121241243).

The spelling of 222131011110021 in words is "two hundred twenty-two trillion, one hundred thirty-one billion, eleven million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 13 39 117 42293 126879 380637 549809 1649427 4948281 44890541 134671623 404014869 583577033 1750731099 5252193297 1898555650513 5695666951539 17087000854617 24681223456669 74043670370007 222131011110021