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20756101 is a prime number
BaseRepresentation
bin100111100101…
…1011010000101
31110001112000111
41033023122011
520303143401
62020513021
7341265262
oct117133205
943045014
1020756101
1110797403
126b4b771
1343b9622
142a84269
151c4ee51
hex13cb685

20756101 has 2 divisors, whose sum is σ = 20756102. Its totient is φ = 20756100.

The previous prime is 20756089. The next prime is 20756129. The reversal of 20756101 is 10165702.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12496225 + 8259876 = 3535^2 + 2874^2 .

It is a cyclic number.

It is not a de Polignac number, because 20756101 - 223 = 12367493 is a prime.

It is a super-3 number, since 3×207561013 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20756191) 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, 10378050 + 10378051.

It is an arithmetic number, because the mean of its divisors is an integer number (10378051).

Almost surely, 220756101 is an apocalyptic number.

It is an amenable number.

20756101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20756101 is an equidigital number, since it uses as much as digits as its factorization.

20756101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 20756101 is about 4555.8864121047. The cubic root of 20756101 is about 274.8201623096.

The spelling of 20756101 in words is "twenty million, seven hundred fifty-six thousand, one hundred one".