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20101001109929 is a prime number
BaseRepresentation
bin1001001001000001000010…
…00001111110000110101001
32122011122012022212111112222
410210200201001332012221
510113313322241004204
6110430134502243425
74143151355213135
oct444404101760651
978148168774488
1020101001109929
11644a872104913
122307860726575
13b2a69332b8cc
144d6c722383c5
1524cd16e20abe
hex12482107e1a9

20101001109929 has 2 divisors, whose sum is σ = 20101001109930. Its totient is φ = 20101001109928.

The previous prime is 20101001109901. The next prime is 20101001110033. The reversal of 20101001109929 is 92990110010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11505989634304 + 8595011475625 = 3392048^2 + 2931725^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101001109929 - 216 = 20101001044393 is a prime.

It is not a weakly prime, because it can be changed into another prime (20101001102929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050500554964 + 10050500554965.

It is an arithmetic number, because the mean of its divisors is an integer number (10050500554965).

Almost surely, 220101001109929 is an apocalyptic number.

It is an amenable number.

20101001109929 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101001109929 is an equidigital number, since it uses as much as digits as its factorization.

20101001109929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 20101001109929 in words is "twenty trillion, one hundred one billion, one million, one hundred nine thousand, nine hundred twenty-nine".