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10695101 is a prime number
BaseRepresentation
bin101000110011…
…000110111101
3202010100220212
4220303012331
510214220401
61021122205
7156623024
oct50630675
922110825
1010695101
11604542a
1236b9365
1322a6081
1415c58bb
15e13dbb
hexa331bd

10695101 has 2 divisors, whose sum is σ = 10695102. Its totient is φ = 10695100.

The previous prime is 10695079. The next prime is 10695103. The reversal of 10695101 is 10159601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6175225 + 4519876 = 2485^2 + 2126^2 .

It is an emirp because it is prime and its reverse (10159601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10695101 - 26 = 10695037 is a prime.

It is a super-3 number, since 3×106951013 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10695103, 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 (10695103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5347550 + 5347551.

It is an arithmetic number, because the mean of its divisors is an integer number (5347551).

Almost surely, 210695101 is an apocalyptic number.

It is an amenable number.

10695101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10695101 is an equidigital number, since it uses as much as digits as its factorization.

10695101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 10695101 is about 3270.3365270259. The cubic root of 10695101 is about 220.3239099199.

The spelling of 10695101 in words is "ten million, six hundred ninety-five thousand, one hundred one".