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413222223313037 is a prime number
BaseRepresentation
bin101110111110100101100101…
…1110101010111100010001101
32000012002122210020010121021202
41131331023023311113202031
5413130213103132004122
64022503400240235245
7153016214623462115
oct13575131365274215
92005078706117252
10413222223313037
1110a7356194195a6
123a41929a60bb25
13149758c47049b8
1474080c3022045
1532b8cd1c79e92
hex177d2cbd5788d

413222223313037 has 2 divisors, whose sum is σ = 413222223313038. Its totient is φ = 413222223313036.

The previous prime is 413222223312991. The next prime is 413222223313069. The reversal of 413222223313037 is 730313322222314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334307800855396 + 78914422457641 = 18284086^2 + 8883379^2 .

It is a cyclic number.

It is not a de Polignac number, because 413222223313037 - 26 = 413222223312973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413222223312037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206611111656518 + 206611111656519.

It is an arithmetic number, because the mean of its divisors is an integer number (206611111656519).

Almost surely, 2413222223313037 is an apocalyptic number.

It is an amenable number.

413222223313037 is a deficient number, since it is larger than the sum of its proper divisors (1).

413222223313037 is an equidigital number, since it uses as much as digits as its factorization.

413222223313037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 38.

The spelling of 413222223313037 in words is "four hundred thirteen trillion, two hundred twenty-two billion, two hundred twenty-three million, three hundred thirteen thousand, thirty-seven".