Search a number
-
+
105015002527 is a prime number
BaseRepresentation
bin110000111001101100…
…0011100010110011111
3101001001200020212102001
41201303120130112133
53210032320040102
6120124311543131
710405240536061
oct1416330342637
9331050225361
10105015002527
114059a25a796
121842938aaa7
139b977c1b66
145123109731
152ae9656487
hex187361c59f

105015002527 has 2 divisors, whose sum is σ = 105015002528. Its totient is φ = 105015002526.

The previous prime is 105015002509. The next prime is 105015002531. The reversal of 105015002527 is 725200510501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105015002527 is a prime.

It is a super-2 number, since 2×1050150025272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105015002495 and 105015002504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105015002557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52507501263 + 52507501264.

It is an arithmetic number, because the mean of its divisors is an integer number (52507501264).

Almost surely, 2105015002527 is an apocalyptic number.

105015002527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105015002527 is an equidigital number, since it uses as much as digits as its factorization.

105015002527 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 105015002527 in words is "one hundred five billion, fifteen million, two thousand, five hundred twenty-seven".