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1005302211269 is a prime number
BaseRepresentation
bin11101010000100001010…
…11100110001011000101
310120002212020110122222012
432220100223212023011
5112432324331230034
62045455055144005
7132426216542636
oct16502053461305
93502766418865
101005302211269
11358389987784
12142a01815005
1373a5191a865
143692a6d588d
151b23beb6cce
hexea10ae62c5

1005302211269 has 2 divisors, whose sum is σ = 1005302211270. Its totient is φ = 1005302211268.

The previous prime is 1005302211227. The next prime is 1005302211271. The reversal of 1005302211269 is 9621122035001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 544220470369 + 461081740900 = 737713^2 + 679030^2 .

It is an emirp because it is prime and its reverse (9621122035001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005302211269 is a prime.

It is a super-2 number, since 2×10053022112692 (a number of 25 digits) contains 22 as substring.

Together with 1005302211271, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005302111269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502651105634 + 502651105635.

It is an arithmetic number, because the mean of its divisors is an integer number (502651105635).

Almost surely, 21005302211269 is an apocalyptic number.

It is an amenable number.

1005302211269 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005302211269 is an equidigital number, since it uses as much as digits as its factorization.

1005302211269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 1005302211269 in words is "one trillion, five billion, three hundred two million, two hundred eleven thousand, two hundred sixty-nine".