Search a number
-
+
310114442101 is a prime number
BaseRepresentation
bin1001000001101000100…
…00101101101101110101
31002122110102000220220211
410200310100231231311
520040103244121401
6354244204425421
731255632156622
oct4406420555565
91078412026824
10310114442101
1110a578577362
1250128848271
13233224482a9
141101c575349
158100625951
hex483442db75

310114442101 has 2 divisors, whose sum is σ = 310114442102. Its totient is φ = 310114442100.

The previous prime is 310114442063. The next prime is 310114442129. The reversal of 310114442101 is 101244411013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174744900625 + 135369541476 = 418025^2 + 367926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310114442101 is a prime.

It is a super-2 number, since 2×3101144421012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310114442171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155057221050 + 155057221051.

It is an arithmetic number, because the mean of its divisors is an integer number (155057221051).

Almost surely, 2310114442101 is an apocalyptic number.

It is an amenable number.

310114442101 is a deficient number, since it is larger than the sum of its proper divisors (1).

310114442101 is an equidigital number, since it uses as much as digits as its factorization.

310114442101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 310114442101 its reverse (101244411013), we get a palindrome (411358853114).

The spelling of 310114442101 in words is "three hundred ten billion, one hundred fourteen million, four hundred forty-two thousand, one hundred one".