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210122112122 = 21344985321101
BaseRepresentation
bin1100001110110001000…
…0001111110001111010
3202002100202211020221222
43003230100033301322
511420312230041442
6240310114032042
721116010324656
oct3035420176172
9662322736858
10210122112122
11811264aa91a
1234881578622
1316a783c2a30
14a25454da66
1556ebe038d2
hex30ec40fc7a

210122112122 has 32 divisors (see below), whose sum is σ = 340598941200. Its totient is φ = 96645427200.

The previous prime is 210122112071. The next prime is 210122112169. The reversal of 210122112122 is 221211221012.

210122112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11198084041 + 198924028081 = 105821^2 + 446009^2 .

It is a super-2 number, since 2×2101221121222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210122112122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9947372 + ... + 9968472.

Almost surely, 2210122112122 is an apocalyptic number.

210122112122 is a deficient number, since it is larger than the sum of its proper divisors (130476829078).

210122112122 is a wasteful number, since it uses less digits than its factorization.

210122112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22418.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210122112122 its reverse (221211221012), we get a palindrome (431333333134).

The spelling of 210122112122 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 13 26 449 853 898 1706 5837 11089 11674 21101 22178 42202 274313 382997 548626 765994 4978961 9474349 9957922 17999153 18948698 35998306 123166537 233988989 246333074 467977978 8081619697 16163239394 105061056061 210122112122