Search a number
-
+
231102122101 is a prime number
BaseRepresentation
bin1101011100111011000…
…0101000100001110101
3211002111220102012011121
43113032300220201311
512241244120401401
6254100012303541
722460632424554
oct3271660504165
9732456365147
10231102122101
118a012139944
1238957771bb1
1318a3cb28b16
14b284a5bd9b
156028c02ca1
hex35cec28875

231102122101 has 2 divisors, whose sum is σ = 231102122102. Its totient is φ = 231102122100.

The previous prime is 231102122093. The next prime is 231102122113. The reversal of 231102122101 is 101221201132.

231102122101 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., 211094302500 + 20007819601 = 459450^2 + 141449^2 .

It is a cyclic number.

It is not a de Polignac number, because 231102122101 - 23 = 231102122093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231102122171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115551061050 + 115551061051.

It is an arithmetic number, because the mean of its divisors is an integer number (115551061051).

Almost surely, 2231102122101 is an apocalyptic number.

It is an amenable number.

231102122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

231102122101 is an equidigital number, since it uses as much as digits as its factorization.

231102122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 231102122101 its reverse (101221201132), we get a palindrome (332323323233).

The spelling of 231102122101 in words is "two hundred thirty-one billion, one hundred two million, one hundred twenty-two thousand, one hundred one".