Search a number
-
+
10114523553413 is a prime number
BaseRepresentation
bin1001001100101111100010…
…0101010101111010000101
31022210221100112111112220202
42103023320211111322011
52311204021012202123
633302314210140245
72062515215444156
oct223137045257205
938727315445822
1010114523553413
11324a5aa951824
121174319581685
13584a45887846
1426d78cdcd92d
1512817e22ca28
hex932f8955e85

10114523553413 has 2 divisors, whose sum is σ = 10114523553414. Its totient is φ = 10114523553412.

The previous prime is 10114523553389. The next prime is 10114523553481. The reversal of 10114523553413 is 31435532541101.

10114523553413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8233955643169 + 1880567910244 = 2869487^2 + 1371338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10114523553413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10114523553493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057261776706 + 5057261776707.

It is an arithmetic number, because the mean of its divisors is an integer number (5057261776707).

Almost surely, 210114523553413 is an apocalyptic number.

It is an amenable number.

10114523553413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114523553413 is an equidigital number, since it uses as much as digits as its factorization.

10114523553413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 10114523553413 in words is "ten trillion, one hundred fourteen billion, five hundred twenty-three million, five hundred fifty-three thousand, four hundred thirteen".