Search a number
-
+
105150001237 is a prime number
BaseRepresentation
bin110000111101101101…
…1011011000001010101
3101001102002021111211021
41201323123123001111
53210321400014422
6120145533241141
710411500156241
oct1417333330125
9331362244737
10105150001237
1140659486276
12184666331b1
139bb976a958
14513700b421
152b06420dc7
hex187b6db055

105150001237 has 2 divisors, whose sum is σ = 105150001238. Its totient is φ = 105150001236.

The previous prime is 105150001217. The next prime is 105150001261. The reversal of 105150001237 is 732100051501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103760650161 + 1389351076 = 322119^2 + 37274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105150001237 is a prime.

It is a super-2 number, since 2×1051500012372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105150001217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52575000618 + 52575000619.

It is an arithmetic number, because the mean of its divisors is an integer number (52575000619).

Almost surely, 2105150001237 is an apocalyptic number.

It is an amenable number.

105150001237 is a deficient number, since it is larger than the sum of its proper divisors (1).

105150001237 is an equidigital number, since it uses as much as digits as its factorization.

105150001237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 25.

Adding to 105150001237 its reverse (732100051501), we get a palindrome (837250052738).

The spelling of 105150001237 in words is "one hundred five billion, one hundred fifty million, one thousand, two hundred thirty-seven".