Search a number
-
+
100040509 is a prime number
BaseRepresentation
bin1011111011001…
…11111100111101
320222020120210001
411331213330331
5201102244014
613532114301
72323221202
oct575477475
9228216701
10100040509
1151519a08
1229605991
131795908a
14d401ca9
158bb1974
hex5f67f3d

100040509 has 2 divisors, whose sum is σ = 100040510. Its totient is φ = 100040508.

The previous prime is 100040497. The next prime is 100040513. The reversal of 100040509 is 905040001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89832484 + 10208025 = 9478^2 + 3195^2 .

It is a cyclic number.

It is not a de Polignac number, because 100040509 - 25 = 100040477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100040519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50020254 + 50020255.

It is an arithmetic number, because the mean of its divisors is an integer number (50020255).

Almost surely, 2100040509 is an apocalyptic number.

It is an amenable number.

100040509 is a deficient number, since it is larger than the sum of its proper divisors (1).

100040509 is an equidigital number, since it uses as much as digits as its factorization.

100040509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100040509 is about 10002.0252449192. The cubic root of 100040509 is about 464.2215502741.

The spelling of 100040509 in words is "one hundred million, forty thousand, five hundred nine".