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420077038217 is a prime number
BaseRepresentation
bin1100001110011101000…
…10101110101010001001
31111011021220001120210212
412013032202232222021
523340304210210332
6520551500450505
742230620624064
oct6071642565211
91434256046725
10420077038217
1115217659a371
12694b6b49a35
13307c7c7a205
14164907bd8db
15add92d08b2
hex61ce8aea89

420077038217 has 2 divisors, whose sum is σ = 420077038218. Its totient is φ = 420077038216.

The previous prime is 420077038193. The next prime is 420077038223. The reversal of 420077038217 is 712830770024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 418873017616 + 1204020601 = 647204^2 + 34699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420077038217 is a prime.

It is not a weakly prime, because it can be changed into another prime (420077038267) 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, 210038519108 + 210038519109.

It is an arithmetic number, because the mean of its divisors is an integer number (210038519109).

Almost surely, 2420077038217 is an apocalyptic number.

It is an amenable number.

420077038217 is a deficient number, since it is larger than the sum of its proper divisors (1).

420077038217 is an equidigital number, since it uses as much as digits as its factorization.

420077038217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131712, while the sum is 41.

The spelling of 420077038217 in words is "four hundred twenty billion, seventy-seven million, thirty-eight thousand, two hundred seventeen".