Search a number
-
+
223152412442153 is a prime number
BaseRepresentation
bin110010101111010010111000…
…010001100011111000101001
31002021010011101022021010001012
4302233102320101203320221
5213222112120041122103
62110334445242433305
765001141544102025
oct6257227021437051
91067104338233035
10223152412442153
1165115452285757
1221040523502835
13976924a3a5c0c
143d168c4aa7385
151abea8de2b2d8
hexcaf4b8463e29

223152412442153 has 2 divisors, whose sum is σ = 223152412442154. Its totient is φ = 223152412442152.

The previous prime is 223152412442083. The next prime is 223152412442237. The reversal of 223152412442153 is 351244214251322.

It is a happy number.

223152412442153 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., 222631376780569 + 521035661584 = 14920837^2 + 721828^2 .

It is a cyclic number.

It is not a de Polignac number, because 223152412442153 - 212 = 223152412438057 is a prime.

It is a super-3 number, since 3×2231524124421533 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223152412442153.

It is not a weakly prime, because it can be changed into another prime (223152412472153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111576206221076 + 111576206221077.

It is an arithmetic number, because the mean of its divisors is an integer number (111576206221077).

Almost surely, 2223152412442153 is an apocalyptic number.

It is an amenable number.

223152412442153 is a deficient number, since it is larger than the sum of its proper divisors (1).

223152412442153 is an equidigital number, since it uses as much as digits as its factorization.

223152412442153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 460800, while the sum is 41.

Adding to 223152412442153 its reverse (351244214251322), we get a palindrome (574396626693475).

The spelling of 223152412442153 in words is "two hundred twenty-three trillion, one hundred fifty-two billion, four hundred twelve million, four hundred forty-two thousand, one hundred fifty-three".