Search a number
-
+
233121132173 is a prime number
BaseRepresentation
bin1101100100011100011…
…0100010111010001101
3211021201121112112022102
43121013012202322031
512304413002212143
6255032214524445
722561646633366
oct3310706427215
9737647475272
10233121132173
118a958890006
123921b966725
1318ca21cab37
14b3d6c64b6d
1560e60bd0b8
hex36471a2e8d

233121132173 has 2 divisors, whose sum is σ = 233121132174. Its totient is φ = 233121132172.

The previous prime is 233121132169. The next prime is 233121132203. The reversal of 233121132173 is 371231121332.

233121132173 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., 215373030889 + 17748101284 = 464083^2 + 133222^2 .

It is a cyclic number.

It is not a de Polignac number, because 233121132173 - 22 = 233121132169 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233121132103) 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, 116560566086 + 116560566087.

It is an arithmetic number, because the mean of its divisors is an integer number (116560566087).

Almost surely, 2233121132173 is an apocalyptic number.

It is an amenable number.

233121132173 is a deficient number, since it is larger than the sum of its proper divisors (1).

233121132173 is an equidigital number, since it uses as much as digits as its factorization.

233121132173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The spelling of 233121132173 in words is "two hundred thirty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred seventy-three".