Search a number
-
+
3122113301 is a prime number
BaseRepresentation
bin1011101000010111…
…1010101100010101
322001120210210021222
42322011322230111
522343230111201
61233445420125
7140240345066
oct27205725425
98046723258
103122113301
111362395a2a
1273170a645
133a9a9b328
1421891256d
1513416591b
hexba17ab15

3122113301 has 2 divisors, whose sum is σ = 3122113302. Its totient is φ = 3122113300.

The previous prime is 3122113279. The next prime is 3122113331. The reversal of 3122113301 is 1033112213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3113528401 + 8584900 = 55799^2 + 2930^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122113301 - 210 = 3122112277 is a prime.

It is a super-2 number, since 2×31221133012 = 19495182928562233202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3122113301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3122113331) 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, 1561056650 + 1561056651.

It is an arithmetic number, because the mean of its divisors is an integer number (1561056651).

Almost surely, 23122113301 is an apocalyptic number.

It is an amenable number.

3122113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122113301 is an equidigital number, since it uses as much as digits as its factorization.

3122113301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3122113301 is about 55875.8740513292. The cubic root of 3122113301 is about 1461.5585566025.

Adding to 3122113301 its reverse (1033112213), we get a palindrome (4155225514).

The spelling of 3122113301 in words is "three billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred one".