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221242242122 = 21126114987281
BaseRepresentation
bin1100111000001100010…
…0001011010001001010
3210011001202022101120122
43032003010023101022
512111101003221442
6245345353023242
721661406013026
oct3160304132112
9704052271518
10221242242122
1185912529100
1236a656b4b22
1317b2b18b505
14a9cb371386
155b4d2c1dd2
hex338310b44a

221242242122 has 24 divisors (see below), whose sum is σ = 370755382116. Its totient is φ = 98916048000.

The previous prime is 221242242079. The next prime is 221242242161.

221242242122 is nontrivially palindromic in base 10.

221242242122 is digitally balanced in base 3, 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 2 ways, for example, as 178152370561 + 43089871561 = 422081^2 + 207581^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221242242091 and 221242242100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7478879 + ... + 7508402.

Almost surely, 2221242242122 is an apocalyptic number.

221242242122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221242242122 is a deficient number, since it is larger than the sum of its proper divisors (149513139994).

221242242122 is a wasteful number, since it uses less digits than its factorization.

221242242122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987366 (or 14987355 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

It can be divided in two parts, 221242 and 242122, that added together give a palindrome (463364).

The spelling of 221242242122 in words is "two hundred twenty-one billion, two hundred forty-two million, two hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 61 121 122 242 671 1342 7381 14762 14987281 29974562 164860091 329720182 914224141 1813461001 1828448282 3626922002 10056465551 20112931102 110621121061 221242242122