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10221212221 = 1110134726513
BaseRepresentation
bin10011000010011101…
…10101001000111101
3222101100000101020121
421201032311020331
5131413112242341
64410124014541
7511201604353
oct114116651075
928340011217
1010221212221
114375676030
121b93091451
13c6b79088c
146cd6a77d3
153ec5074d1
hex2613b523d

10221212221 has 16 divisors (see below), whose sum is σ = 11293691328. Its totient is φ = 9173152000.

The previous prime is 10221212189. The next prime is 10221212249. The reversal of 10221212221 is 12221212201.

It is a happy number.

10221212221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10221212221 - 25 = 10221212189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221212195 and 10221212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221282221) 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 15 ways as a sum of consecutive naturals, for example, 372261 + ... + 398773.

It is an arithmetic number, because the mean of its divisors is an integer number (705855708).

Almost surely, 210221212221 is an apocalyptic number.

10221212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221212221 is a deficient number, since it is larger than the sum of its proper divisors (1072479107).

10221212221 is a wasteful number, since it uses less digits than its factorization.

10221212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26972.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221212221 its reverse (12221212201), we get a palindrome (22442424422).

The spelling of 10221212221 in words is "ten billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 101 347 1111 3817 26513 35047 291643 385517 2677813 9200011 29455943 101200121 929201111 10221212221