Search a number
-
+
233110010981 is a prime number
BaseRepresentation
bin1101100100011001110…
…0000111110001100101
3211021200211121111220102
43121012130013301211
512304402130322411
6255031140313445
722561453254161
oct3310634076145
9737624544812
10233110010981
118a952584541
12392180a2885
1318c9cb05b53
14b3d55abca1
1560e5122d3b
hex3646707c65

233110010981 has 2 divisors, whose sum is σ = 233110010982. Its totient is φ = 233110010980.

The previous prime is 233110010977. The next prime is 233110011059. The reversal of 233110010981 is 189010011332.

233110010981 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., 142782713956 + 90327297025 = 377866^2 + 300545^2 .

It is a cyclic number.

It is not a de Polignac number, because 233110010981 - 22 = 233110010977 is a prime.

It is a super-2 number, since 2×2331100109812 (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 (233110010921) 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, 116555005490 + 116555005491.

It is an arithmetic number, because the mean of its divisors is an integer number (116555005491).

Almost surely, 2233110010981 is an apocalyptic number.

It is an amenable number.

233110010981 is a deficient number, since it is larger than the sum of its proper divisors (1).

233110010981 is an equidigital number, since it uses as much as digits as its factorization.

233110010981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 233110010981 in words is "two hundred thirty-three billion, one hundred ten million, ten thousand, nine hundred eighty-one".