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231232100101 is a prime number
BaseRepresentation
bin1101011101011010000…
…0011101011100000101
3211002211221222202110121
43113112200131130011
512242030404200401
6254120534221541
722464101264302
oct3272640353405
9732757882417
10231232100101
118a079546282
12389931b48b1
1318a60a37592
14b2980140a9
156035329ca1
hex35d681d705

231232100101 has 2 divisors, whose sum is σ = 231232100102. Its totient is φ = 231232100100.

The previous prime is 231232100053. The next prime is 231232100107. The reversal of 231232100101 is 101001232132.

231232100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197962704900 + 33269395201 = 444930^2 + 182399^2 .

It is a cyclic number.

It is not a de Polignac number, because 231232100101 - 229 = 230695229189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231232100107) 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, 115616050050 + 115616050051.

It is an arithmetic number, because the mean of its divisors is an integer number (115616050051).

Almost surely, 2231232100101 is an apocalyptic number.

It is an amenable number.

231232100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

231232100101 is an equidigital number, since it uses as much as digits as its factorization.

231232100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231232100101 its reverse (101001232132), we get a palindrome (332233332233).

The spelling of 231232100101 in words is "two hundred thirty-one billion, two hundred thirty-two million, one hundred thousand, one hundred one".