Search a number
-
+
101429017 is a prime number
BaseRepresentation
bin1100000101110…
…10111100011001
321001212010110021
412002322330121
5201431212032
614021550441
72341063264
oct602727431
9231763407
10101429017
1152288138
1229b75421
1318024091
14d683cdb
158d88097
hex60baf19

101429017 has 2 divisors, whose sum is σ = 101429018. Its totient is φ = 101429016.

The previous prime is 101428981. The next prime is 101429023. The reversal of 101429017 is 710924101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77721856 + 23707161 = 8816^2 + 4869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101429017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101428982 and 101429000.

It is not a weakly prime, because it can be changed into another prime (101429077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50714508 + 50714509.

It is an arithmetic number, because the mean of its divisors is an integer number (50714509).

Almost surely, 2101429017 is an apocalyptic number.

It is an amenable number.

101429017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101429017 is an equidigital number, since it uses as much as digits as its factorization.

101429017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 101429017 is about 10071.1973965363. The cubic root of 101429017 is about 466.3594042561.

The spelling of 101429017 in words is "one hundred one million, four hundred twenty-nine thousand, seventeen".