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56406101 is a prime number
BaseRepresentation
bin1101011100101…
…1000001010101
310221010201121212
43113023001111
5103414443401
65332551205
71253305163
oct327130125
9127121555
1056406101
1129926814
1216a82505
13b8bc1bb
1476c4233
154e42dbb
hex35cb055

56406101 has 2 divisors, whose sum is σ = 56406102. Its totient is φ = 56406100.

The previous prime is 56406071. The next prime is 56406113. The reversal of 56406101 is 10160465.

56406101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28633201 + 27772900 = 5351^2 + 5270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56406101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56406121) 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, 28203050 + 28203051.

It is an arithmetic number, because the mean of its divisors is an integer number (28203051).

Almost surely, 256406101 is an apocalyptic number.

It is an amenable number.

56406101 is a deficient number, since it is larger than the sum of its proper divisors (1).

56406101 is an equidigital number, since it uses as much as digits as its factorization.

56406101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 56406101 is about 7510.3995233276. The cubic root of 56406101 is about 383.5088234081.

Adding to 56406101 its reverse (10160465), we get a palindrome (66566566).

The spelling of 56406101 in words is "fifty-six million, four hundred six thousand, one hundred one".