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2201123261 is a prime number
BaseRepresentation
bin1000001100110010…
…0111100110111101
312200101210122110202
42003030213212331
514001441421021
61002225413245
7105355144661
oct20314474675
95611718422
102201123261
11a2a527537
1251519a225
132910359cc
1416c4908a1
15cd38ea0b
hex833279bd

2201123261 has 2 divisors, whose sum is σ = 2201123262. Its totient is φ = 2201123260.

The previous prime is 2201123213. The next prime is 2201123269. The reversal of 2201123261 is 1623211022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1716859225 + 484264036 = 41435^2 + 22006^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201123261 - 222 = 2196928957 is a prime.

It is a super-2 number, since 2×22011232612 = 9689887220230548242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201123269) 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 as a sum of consecutive naturals, namely, 1100561630 + 1100561631.

It is an arithmetic number, because the mean of its divisors is an integer number (1100561631).

Almost surely, 22201123261 is an apocalyptic number.

It is an amenable number.

2201123261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201123261 is an equidigital number, since it uses as much as digits as its factorization.

2201123261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2201123261 is about 46916.1300727159. The cubic root of 2201123261 is about 1300.8127582282.

Adding to 2201123261 its reverse (1623211022), we get a palindrome (3824334283).

The spelling of 2201123261 in words is "two billion, two hundred one million, one hundred twenty-three thousand, two hundred sixty-one".