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10221112122 = 2313233562403
BaseRepresentation
bin10011000010011100…
…11100101100111010
3222101022211021221020
421201032130230322
5131413101041442
64410121523310
7511201006464
oct114116345472
928338737836
1010221112122
114375607901
121b93043536
13c6b757150
146cd67d134
153ec4d79ec
hex26139cb3a

10221112122 has 32 divisors (see below), whose sum is σ = 22109226048. Its totient is φ = 3131454336.

The previous prime is 10221112091. The next prime is 10221112123. The reversal of 10221112122 is 22121112201.

10221112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102211121222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221112123) 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, 263028 + ... + 299375.

It is an arithmetic number, because the mean of its divisors is an integer number (690913314).

Almost surely, 210221112122 is an apocalyptic number.

10221112122 is an abundant number, since it is smaller than the sum of its proper divisors (11888113926).

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

10221112122 is a wasteful number, since it uses less digits than its factorization.

10221112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562654.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221112122 its reverse (22121112201), we get a palindrome (32342224323).

The spelling of 10221112122 in words is "ten billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 233 466 699 1398 3029 6058 9087 18174 562403 1124806 1687209 3374418 7311239 14622478 21933717 43867434 131039899 262079798 393119697 786239394 1703518687 3407037374 5110556061 10221112122