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401122313 is a prime number
BaseRepresentation
bin10111111010001…
…010010000001001
31000221210010100222
4113322022100021
51310141403223
6103445235425
712640324544
oct2772122011
91027703328
10401122313
11196472149
12b2402b75
13651453a7
143b3b785b
15253360c8
hex17e8a409

401122313 has 2 divisors, whose sum is σ = 401122314. Its totient is φ = 401122312.

The previous prime is 401122307. The next prime is 401122321. The reversal of 401122313 is 313221104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 317801929 + 83320384 = 17827^2 + 9128^2 .

It is a cyclic number.

It is not a de Polignac number, because 401122313 - 212 = 401118217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401122291 and 401122300.

It is not a weakly prime, because it can be changed into another prime (401122303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200561156 + 200561157.

It is an arithmetic number, because the mean of its divisors is an integer number (200561157).

Almost surely, 2401122313 is an apocalyptic number.

It is an amenable number.

401122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

401122313 is an equidigital number, since it uses as much as digits as its factorization.

401122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 401122313 is about 20028.0381715234. The cubic root of 401122313 is about 737.4947623108.

Adding to 401122313 its reverse (313221104), we get a palindrome (714343417).

The spelling of 401122313 in words is "four hundred one million, one hundred twenty-two thousand, three hundred thirteen".