Search a number
-
+
101188141 is a prime number
BaseRepresentation
bin1100000100000…
…00001000101101
321001101220000221
412002000020231
5201401010031
614012451341
72336041105
oct602001055
9231356027
10101188141
115213316a
1229a79b51
1317c6b552
14d620205
158d3ba11
hex608022d

101188141 has 2 divisors, whose sum is σ = 101188142. Its totient is φ = 101188140.

The previous prime is 101188111. The next prime is 101188151. The reversal of 101188141 is 141881101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71048041 + 30140100 = 8429^2 + 5490^2 .

It is a cyclic number.

It is not a de Polignac number, because 101188141 - 211 = 101186093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101188111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50594070 + 50594071.

It is an arithmetic number, because the mean of its divisors is an integer number (50594071).

Almost surely, 2101188141 is an apocalyptic number.

It is an amenable number.

101188141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101188141 is an equidigital number, since it uses as much as digits as its factorization.

101188141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 25.

The square root of 101188141 is about 10059.2316306963. The cubic root of 101188141 is about 465.9899378917.

The spelling of 101188141 in words is "one hundred one million, one hundred eighty-eight thousand, one hundred forty-one".