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10122212122 = 21110128316097
BaseRepresentation
bin10010110110101010…
…01011001100011010
3222010102201122122021
421123111023030122
5131212241241442
64352230045054
7505560245341
oct113325131432
928112648567
1010122212122
1143247a7870
121b65aa978a
13c5410a239
146c0496b58
153e399de67
hex25b54b31a

10122212122 has 32 divisors (see below), whose sum is σ = 16787767104. Its totient is φ = 4539072000.

The previous prime is 10122212099. The next prime is 10122212197. The reversal of 10122212122 is 22121222101.

It is a happy number.

10122212122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10122212096 and 10122212105.

It is an unprimeable number.

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, 620778 + ... + 636874.

It is an arithmetic number, because the mean of its divisors is an integer number (524617722).

Almost surely, 210122212122 is an apocalyptic number.

10122212122 is a deficient number, since it is larger than the sum of its proper divisors (6665554982).

10122212122 is a wasteful number, since it uses less digits than its factorization.

10122212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494.

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

Adding to 10122212122 its reverse (22121222101), we get a palindrome (32243434223).

The spelling of 10122212122 in words is "ten billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 101 202 283 566 1111 2222 3113 6226 16097 28583 32194 57166 177067 314413 354134 628826 1625797 3251594 4555451 9110902 17883767 35767534 50109961 100219922 460100551 920201102 5061106061 10122212122