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1006114164997 is a prime number
BaseRepresentation
bin11101010010000010001…
…00111101000100000101
310120011221211022012002111
432221001010331010011
5112441010211234442
62050111422141021
7132455306203654
oct16510104750405
93504854265074
101006114164997
11358766242617
12142ba9721771
1373b50bc7656
14369a649319b
151b288400b17
hexea4113d105

1006114164997 has 2 divisors, whose sum is σ = 1006114164998. Its totient is φ = 1006114164996.

The previous prime is 1006114164961. The next prime is 1006114165037. The reversal of 1006114164997 is 7994614116001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 779475328641 + 226638836356 = 882879^2 + 476066^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006114164997 is a prime.

It is a super-2 number, since 2×10061141649972 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006114164997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006114162997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503057082498 + 503057082499.

It is an arithmetic number, because the mean of its divisors is an integer number (503057082499).

Almost surely, 21006114164997 is an apocalyptic number.

It is an amenable number.

1006114164997 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006114164997 is an equidigital number, since it uses as much as digits as its factorization.

1006114164997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 1006114164997 in words is "one trillion, six billion, one hundred fourteen million, one hundred sixty-four thousand, nine hundred ninety-seven".