Search a number
-
+
73137901 is a prime number
BaseRepresentation
bin1000101101111…
…11111011101101
312002121210100011
410112333323231
5122210403101
611131333221
71545443014
oct426777355
9162553304
1073137901
1138314651
12205b1211
13121c9b85
1499dba7b
15664a751
hex45bfeed

73137901 has 2 divisors, whose sum is σ = 73137902. Its totient is φ = 73137900.

The previous prime is 73137877. The next prime is 73137917. The reversal of 73137901 is 10973137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38316100 + 34821801 = 6190^2 + 5901^2 .

It is a cyclic number.

It is not a de Polignac number, because 73137901 - 213 = 73129709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73131901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36568950 + 36568951.

It is an arithmetic number, because the mean of its divisors is an integer number (36568951).

Almost surely, 273137901 is an apocalyptic number.

It is an amenable number.

73137901 is a deficient number, since it is larger than the sum of its proper divisors (1).

73137901 is an equidigital number, since it uses as much as digits as its factorization.

73137901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 73137901 is about 8552.0699833432. The cubic root of 73137901 is about 418.1969207913.

The spelling of 73137901 in words is "seventy-three million, one hundred thirty-seven thousand, nine hundred one".