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769838010101 is a prime number
BaseRepresentation
bin10110011001111011110…
…10111100111011110101
32201121002100000220020122
423030331322330323311
5100103112012310401
61345354140141325
7106422206055266
oct13147572747365
92647070026218
10769838010101
1127753953a316
12105249237845
1357798178184
14293905d096d
151505a36b21b
hexb33debcef5

769838010101 has 2 divisors, whose sum is σ = 769838010102. Its totient is φ = 769838010100.

The previous prime is 769838010049. The next prime is 769838010103. The reversal of 769838010101 is 101010838967.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 466661131876 + 303176878225 = 683126^2 + 550615^2 .

It is an emirp because it is prime and its reverse (101010838967) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-769838010101 is a prime.

Together with 769838010103, 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 (769838010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384919005050 + 384919005051.

It is an arithmetic number, because the mean of its divisors is an integer number (384919005051).

Almost surely, 2769838010101 is an apocalyptic number.

It is an amenable number.

769838010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

769838010101 is an equidigital number, since it uses as much as digits as its factorization.

769838010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 769838010101 in words is "seven hundred sixty-nine billion, eight hundred thirty-eight million, ten thousand, one hundred one".