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10221222213 = 3237188916249
BaseRepresentation
bin10011000010011101…
…10111100101000101
3222101100000212221200
421201032313211011
5131413113102323
64410124133113
7511201645446
oct114116674505
928340025850
1010221222213
114375682594
121b93097199
13c6b7952a7
146cd6ab2cd
153ec50a443
hex2613b7945

10221222213 has 24 divisors (see below), whose sum is σ = 15171975000. Its totient is φ = 6626064384.

The previous prime is 10221222199. The next prime is 10221222227. The reversal of 10221222213 is 31222212201.

10221222213 is a `hidden beast` number, since 10 + 221 + 222 + 213 = 666.

10221222213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10221222199) and next prime (10221222227).

It can be written as a sum of positive squares in 4 ways, for example, as 3839289444 + 6381932769 = 61962^2 + 79887^2 .

It is not a de Polignac number, because 10221222213 - 25 = 10221222181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221222233) 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, 620913 + ... + 637161.

It is an arithmetic number, because the mean of its divisors is an integer number (632165625).

Almost surely, 210221222213 is an apocalyptic number.

It is an amenable number.

10221222213 is a deficient number, since it is larger than the sum of its proper divisors (4950752787).

10221222213 is a wasteful number, since it uses less digits than its factorization.

10221222213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18181 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221222213 its reverse (31222212201), we get a palindrome (41443434414).

The spelling of 10221222213 in words is "ten billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 37 111 333 1889 5667 16249 17001 48747 69893 146241 209679 601213 629037 1803639 5410917 30694361 92083083 276249249 1135691357 3407074071 10221222213