Search a number
-
+
10142563126301 is a prime number
BaseRepresentation
bin1001001110010111111111…
…0111110100110000011101
31022220121201122220102212022
42103211333313310300131
52312133432130020201
633323232411345525
72064530112050114
oct223457767646035
938817648812768
1010142563126301
113260489517961
121179843a522a5
13587593a4c8a8
14270c8cd20c7b
15128c70bae41b
hex9397fdf4c1d

10142563126301 has 2 divisors, whose sum is σ = 10142563126302. Its totient is φ = 10142563126300.

The previous prime is 10142563126253. The next prime is 10142563126313. The reversal of 10142563126301 is 10362136524101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9808490686201 + 334072440100 = 3131851^2 + 577990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10142563126301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10142563126331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071281563150 + 5071281563151.

It is an arithmetic number, because the mean of its divisors is an integer number (5071281563151).

Almost surely, 210142563126301 is an apocalyptic number.

It is an amenable number.

10142563126301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142563126301 is an equidigital number, since it uses as much as digits as its factorization.

10142563126301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10142563126301 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, one hundred twenty-six thousand, three hundred one".