Search a number
-
+
15252511434101 is a prime number
BaseRepresentation
bin1101110111110100000010…
…0001101010010101110101
32000000010101202011022021122
43131331000201222111311
53444344120411342401
652234523525553325
73132646311026504
oct335750041522565
960003352138248
1015252511434101
1149506100883a7
121864057275845
138683c86b2346
143aa322a7283b
151b6b45bb721b
hexddf4086a575

15252511434101 has 2 divisors, whose sum is σ = 15252511434102. Its totient is φ = 15252511434100.

The previous prime is 15252511434071. The next prime is 15252511434103. The reversal of 15252511434101 is 10143411525251.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14394246300625 + 858265133476 = 3793975^2 + 926426^2 .

It is a cyclic number.

It is not a de Polignac number, because 15252511434101 - 26 = 15252511434037 is a prime.

Together with 15252511434103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15252511434103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7626255717050 + 7626255717051.

It is an arithmetic number, because the mean of its divisors is an integer number (7626255717051).

Almost surely, 215252511434101 is an apocalyptic number.

It is an amenable number.

15252511434101 is a deficient number, since it is larger than the sum of its proper divisors (1).

15252511434101 is an equidigital number, since it uses as much as digits as its factorization.

15252511434101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 15252511434101 its reverse (10143411525251), we get a palindrome (25395922959352).

The spelling of 15252511434101 in words is "fifteen trillion, two hundred fifty-two billion, five hundred eleven million, four hundred thirty-four thousand, one hundred one".