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231211110001 is a prime number
BaseRepresentation
bin1101011101010101000…
…0011000111001110001
3211002210111111100110111
43113111100120321301
512242010021010001
6254114504301321
722463425002544
oct3272520307161
9732714440414
10231211110001
118a06870a093
1238988171841
1318a595985c1
14b29530c85b
156033580851
hex35d5418e71

231211110001 has 2 divisors, whose sum is σ = 231211110002. Its totient is φ = 231211110000.

The previous prime is 231211109947. The next prime is 231211110043. The reversal of 231211110001 is 100011112132.

It is a happy number.

231211110001 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., 214679322225 + 16531787776 = 463335^2 + 128576^2 .

It is a cyclic number.

It is not a de Polignac number, because 231211110001 - 29 = 231211109489 is a prime.

It is not a weakly prime, because it can be changed into another prime (231211180001) 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, 115605555000 + 115605555001.

It is an arithmetic number, because the mean of its divisors is an integer number (115605555001).

Almost surely, 2231211110001 is an apocalyptic number.

It is an amenable number.

231211110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

231211110001 is an equidigital number, since it uses as much as digits as its factorization.

231211110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 231211110001 its reverse (100011112132), we get a palindrome (331222222133).

The spelling of 231211110001 in words is "two hundred thirty-one billion, two hundred eleven million, one hundred ten thousand, one".