Search a number
-
+
137444101 is a prime number
BaseRepresentation
bin10000011000100…
…11101100000101
3100120121212212021
420030103230011
5240141202401
621345523141
73256153444
oct1014235405
9316555767
10137444101
1170646873
123a0434b1
1322623b92
141437ad5b
15c0ee2a1
hex8313b05

137444101 has 2 divisors, whose sum is σ = 137444102. Its totient is φ = 137444100.

The previous prime is 137444071. The next prime is 137444147. The reversal of 137444101 is 101444731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130553476 + 6890625 = 11426^2 + 2625^2 .

It is a cyclic number.

It is not a de Polignac number, because 137444101 - 27 = 137443973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137444191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68722050 + 68722051.

It is an arithmetic number, because the mean of its divisors is an integer number (68722051).

Almost surely, 2137444101 is an apocalyptic number.

It is an amenable number.

137444101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137444101 is an equidigital number, since it uses as much as digits as its factorization.

137444101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 137444101 is about 11723.6556158905. The cubic root of 137444101 is about 516.0701047009.

Adding to 137444101 its reverse (101444731), we get a palindrome (238888832).

The spelling of 137444101 in words is "one hundred thirty-seven million, four hundred forty-four thousand, one hundred one".