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400233313 is a prime number
BaseRepresentation
bin10111110110110…
…001001101100001
31000220002221220001
4113312301031201
51304424431223
6103414220001
712626632654
oct2766611541
91026087801
10400233313
11195a15237
12b2054601
1364bc385c
143b22589b
152520c9ad
hex17db1361

400233313 has 2 divisors, whose sum is σ = 400233314. Its totient is φ = 400233312.

The previous prime is 400233311. The next prime is 400233331. The reversal of 400233313 is 313332004.

Together with next prime (400233331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 344028304 + 56205009 = 18548^2 + 7497^2 .

It is a cyclic number.

It is not a de Polignac number, because 400233313 - 21 = 400233311 is a prime.

Together with 400233311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (400233311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200116656 + 200116657.

It is an arithmetic number, because the mean of its divisors is an integer number (200116657).

Almost surely, 2400233313 is an apocalyptic number.

It is an amenable number.

400233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

400233313 is an equidigital number, since it uses as much as digits as its factorization.

400233313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 400233313 is about 20005.8319747018. The cubic root of 400233313 is about 736.9495272911.

Adding to 400233313 its reverse (313332004), we get a palindrome (713565317).

The spelling of 400233313 in words is "four hundred million, two hundred thirty-three thousand, three hundred thirteen".