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10400333201 is a prime number
BaseRepresentation
bin10011010111110100…
…00111110110010001
3222211211001200000222
421223322013312101
5132244441130301
64440003122425
7515505242066
oct115372076621
928754050028
1010400333201
1144577982a5
122023073415
13c9991761b
147093b2c6d
1540d0da31b
hex26be87d91

10400333201 has 2 divisors, whose sum is σ = 10400333202. Its totient is φ = 10400333200.

The previous prime is 10400333197. The next prime is 10400333213. The reversal of 10400333201 is 10233300401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9976014400 + 424318801 = 99880^2 + 20599^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400333201 - 22 = 10400333197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10400333201.

It is not a weakly prime, because it can be changed into another prime (10400333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200166600 + 5200166601.

It is an arithmetic number, because the mean of its divisors is an integer number (5200166601).

Almost surely, 210400333201 is an apocalyptic number.

It is an amenable number.

10400333201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400333201 is an equidigital number, since it uses as much as digits as its factorization.

10400333201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10400333201 its reverse (10233300401), we get a palindrome (20633633602).

The spelling of 10400333201 in words is "ten billion, four hundred million, three hundred thirty-three thousand, two hundred one".