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1006135603223 is a prime number
BaseRepresentation
bin11101010010000100101…
…10101111000000010111
310120012000022122100210212
432221002112233000113
5112441031203300343
62050113505440035
7132455656343042
oct16510226570027
93505008570725
101006135603223
11358777355463
12142bb494001b
1373b554925aa
14369a9273c59
151b28a237c18
hexea425af017

1006135603223 has 2 divisors, whose sum is σ = 1006135603224. Its totient is φ = 1006135603222.

The previous prime is 1006135603177. The next prime is 1006135603273. The reversal of 1006135603223 is 3223065316001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1006135603223 - 26 = 1006135603159 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006135603223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006135603273) 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, 503067801611 + 503067801612.

It is an arithmetic number, because the mean of its divisors is an integer number (503067801612).

Almost surely, 21006135603223 is an apocalyptic number.

1006135603223 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006135603223 is an equidigital number, since it uses as much as digits as its factorization.

1006135603223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 1006135603223 in words is "one trillion, six billion, one hundred thirty-five million, six hundred three thousand, two hundred twenty-three".