Search a number
-
+
101303309 is a prime number
BaseRepresentation
bin1100000100111…
…00010000001101
321001121202000102
412002130100031
5201413201214
614015140445
72340030632
oct602342015
9231552012
10101303309
1152201748
1229b14725
1317cabab3
14d650189
158d60bde
hex609c40d

101303309 has 2 divisors, whose sum is σ = 101303310. Its totient is φ = 101303308.

The previous prime is 101303291. The next prime is 101303327. The reversal of 101303309 is 903303101.

It is a balanced prime because it is at equal distance from previous prime (101303291) and next prime (101303327).

It can be written as a sum of positive squares in only one way, i.e., 94517284 + 6786025 = 9722^2 + 2605^2 .

It is an emirp because it is prime and its reverse (903303101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101303309 - 220 = 100254733 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101303509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50651654 + 50651655.

It is an arithmetic number, because the mean of its divisors is an integer number (50651655).

Almost surely, 2101303309 is an apocalyptic number.

It is an amenable number.

101303309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101303309 is an equidigital number, since it uses as much as digits as its factorization.

101303309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 101303309 is about 10064.9544956746. The cubic root of 101303309 is about 466.1666607796.

The spelling of 101303309 in words is "one hundred one million, three hundred three thousand, three hundred nine".