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13529101 is a prime number
BaseRepresentation
bin110011100111…
…000000001101
3221110100102211
4303213000031
511430412401
61201550421
7222665305
oct63470015
927410384
1013529101
117700683
124645411
132a58cb1
141b22605
1512c3951
hexce700d

13529101 has 2 divisors, whose sum is σ = 13529102. Its totient is φ = 13529100.

The previous prime is 13529081. The next prime is 13529123. The reversal of 13529101 is 10192531.

It is an a-pointer prime, because the next prime (13529123) can be obtained adding 13529101 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10017225 + 3511876 = 3165^2 + 1874^2 .

It is a cyclic number.

It is not a de Polignac number, because 13529101 - 215 = 13496333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13529141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6764550 + 6764551.

It is an arithmetic number, because the mean of its divisors is an integer number (6764551).

Almost surely, 213529101 is an apocalyptic number.

It is an amenable number.

13529101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13529101 is an equidigital number, since it uses as much as digits as its factorization.

13529101 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 22.

The square root of 13529101 is about 3678.1926268209. The cubic root of 13529101 is about 238.2811274420.

The spelling of 13529101 in words is "thirteen million, five hundred twenty-nine thousand, one hundred one".