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3131122301 is a prime number
BaseRepresentation
bin1011101010100001…
…0010001001111101
322002012202111022122
42322220102021331
522403031403201
61234410452325
7140410046306
oct27250221175
98065674278
103131122301
11136748958a
127347340a5
133ab903ab8
14219bb97ad
15134d44e1b
hexbaa1227d

3131122301 has 2 divisors, whose sum is σ = 3131122302. Its totient is φ = 3131122300.

The previous prime is 3131122297. The next prime is 3131122321. The reversal of 3131122301 is 1032211313.

3131122301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2926918201 + 204204100 = 54101^2 + 14290^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131122301 - 22 = 3131122297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3131122301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131122321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565561150 + 1565561151.

It is an arithmetic number, because the mean of its divisors is an integer number (1565561151).

Almost surely, 23131122301 is an apocalyptic number.

It is an amenable number.

3131122301 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131122301 is an equidigital number, since it uses as much as digits as its factorization.

3131122301 is an evil number, because the sum of its binary digits is even.

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

The square root of 3131122301 is about 55956.4321682503. The cubic root of 3131122301 is about 1462.9630045089.

Adding to 3131122301 its reverse (1032211313), we get a palindrome (4163333614).

The spelling of 3131122301 in words is "three billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred one".