Search a number
-
+
5101213829 is a prime number
BaseRepresentation
bin1001100000000111…
…00101100010000101
3111011111211111211112
410300003211202011
540421402320304
62202104414405
7240261413345
oct46003454205
914144744745
105101213829
1121885584a8
12ba4477405
13633b08a2a
143656cad25
151ecc9ab6e
hex1300e5885

5101213829 has 2 divisors, whose sum is σ = 5101213830. Its totient is φ = 5101213828.

The previous prime is 5101213739. The next prime is 5101213837. The reversal of 5101213829 is 9283121015.

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., 2732152900 + 2369060929 = 52270^2 + 48673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5101213829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5101213795 and 5101213804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5101213889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550606914 + 2550606915.

It is an arithmetic number, because the mean of its divisors is an integer number (2550606915).

Almost surely, 25101213829 is an apocalyptic number.

It is an amenable number.

5101213829 is a deficient number, since it is larger than the sum of its proper divisors (1).

5101213829 is an equidigital number, since it uses as much as digits as its factorization.

5101213829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 5101213829 is about 71422.7822826862. The cubic root of 5101213829 is about 1721.4371696723.

The spelling of 5101213829 in words is "five billion, one hundred one million, two hundred thirteen thousand, eight hundred twenty-nine".