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22211110001 = 349421151169
BaseRepresentation
bin10100101011111000…
…101010010001110001
32010022221010021221202
4110223320222101301
5330442021010001
614111553100545
71414261214513
oct245370522161
963287107852
1022211110001
119468657763
12437a557755
13212c7c9152
141109c15bb3
1589ee2e96b
hex52be2a471

22211110001 has 8 divisors (see below), whose sum is σ = 22327809000. Its totient is φ = 22094714880.

The previous prime is 22211109979. The next prime is 22211110021. The reversal of 22211110001 is 10001111222.

It can be written as a sum of positive squares in 4 ways, for example, as 4819830625 + 17391279376 = 69425^2 + 131876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22211110001 - 210 = 22211108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22211110021) 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 7 ways as a sum of consecutive naturals, for example, 71345 + ... + 222513.

It is an arithmetic number, because the mean of its divisors is an integer number (2790976125).

Almost surely, 222211110001 is an apocalyptic number.

It is an amenable number.

22211110001 is a deficient number, since it is larger than the sum of its proper divisors (116698999).

22211110001 is a wasteful number, since it uses less digits than its factorization.

22211110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151939.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22211110001 its reverse (10001111222), we get a palindrome (32212221223).

The spelling of 22211110001 in words is "twenty-two billion, two hundred eleven million, one hundred ten thousand, one".

Divisors: 1 349 421 146929 151169 52757981 63642149 22211110001