Search a number
-
+
10012144319 is a prime number
BaseRepresentation
bin10010101001100010…
…10011001010111111
3221211202121121222222
421110301103022333
5131001102104234
64333254555555
7503052552062
oct112461231277
927752547888
1010012144319
11427865a241
121b35068bbb
13c37380068
146ada048d9
153d8eab42e
hex254c532bf

10012144319 has 2 divisors, whose sum is σ = 10012144320. Its totient is φ = 10012144318.

The previous prime is 10012144273. The next prime is 10012144321. The reversal of 10012144319 is 91344121001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10012144319 is a prime.

It is a super-2 number, since 2×100121443192 (a number of 21 digits) contains 22 as substring.

Together with 10012144321, 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 (10012144349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006072159 + 5006072160.

It is an arithmetic number, because the mean of its divisors is an integer number (5006072160).

Almost surely, 210012144319 is an apocalyptic number.

10012144319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012144319 is an equidigital number, since it uses as much as digits as its factorization.

10012144319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10012144319 in words is "ten billion, twelve million, one hundred forty-four thousand, three hundred nineteen".