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1000010100169 is a prime number
BaseRepresentation
bin11101000110101010011…
…11110010110111001001
310112121012102102120022101
432203111033302313021
5112341010041201134
62043222010553401
7132151116413413
oct16432517626711
93477172376271
101000010100169
113561136a4343
12141985438861
13733ba3c3b82
14365879159b3
151b02c5ade14
hexe8d53f2dc9

1000010100169 has 2 divisors, whose sum is σ = 1000010100170. Its totient is φ = 1000010100168.

The previous prime is 1000010100101. The next prime is 1000010100227. The reversal of 1000010100169 is 9610010100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 651894760000 + 348115340169 = 807400^2 + 590013^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010100169 - 221 = 1000008003017 is a prime.

It is a super-2 number, since 2×10000101001692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000010100569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005050084 + 500005050085.

It is an arithmetic number, because the mean of its divisors is an integer number (500005050085).

Almost surely, 21000010100169 is an apocalyptic number.

It is an amenable number.

1000010100169 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010100169 is an equidigital number, since it uses as much as digits as its factorization.

1000010100169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 1000010100169 in words is "one trillion, ten million, one hundred thousand, one hundred sixty-nine".