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2400400212193 is a prime number
BaseRepresentation
bin100010111011100011000…
…000001000000011100001
322111110212000111002212201
4202323203000020003201
5303312004423242233
65034421215053201
7335265104103334
oct42734300100341
98443760432781
102400400212193
11846005383565
12329269211201
13145483a89759
1484273c7061b
154268eacc77d
hex22ee30080e1

2400400212193 has 2 divisors, whose sum is σ = 2400400212194. Its totient is φ = 2400400212192.

The previous prime is 2400400212167. The next prime is 2400400212307. The reversal of 2400400212193 is 3912120040042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2179957755024 + 220442457169 = 1476468^2 + 469513^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400400212193 - 221 = 2400398115041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400400212163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200200106096 + 1200200106097.

It is an arithmetic number, because the mean of its divisors is an integer number (1200200106097).

Almost surely, 22400400212193 is an apocalyptic number.

It is an amenable number.

2400400212193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400400212193 is an equidigital number, since it uses as much as digits as its factorization.

2400400212193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 2400400212193 in words is "two trillion, four hundred billion, four hundred million, two hundred twelve thousand, one hundred ninety-three".