Search a number
-
+
233034011377 is a prime number
BaseRepresentation
bin1101100100000111101…
…0001101001011110001
3211021111112121100001021
43121001322031023301
512304223201331002
6255015423335441
722556541262036
oct3310172151361
9737445540037
10233034011377
118a913695952
12391b6751581
1318c8a14657b
14b3c946738d
1560dd60e737
hex3641e8d2f1

233034011377 has 2 divisors, whose sum is σ = 233034011378. Its totient is φ = 233034011376.

The previous prime is 233034011333. The next prime is 233034011389. The reversal of 233034011377 is 773110430332.

233034011377 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., 133909156096 + 99124855281 = 365936^2 + 314841^2 .

It is a cyclic number.

It is not a de Polignac number, because 233034011377 - 223 = 233025622769 is a prime.

It is a super-2 number, since 2×2330340113772 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (233034011317) 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, 116517005688 + 116517005689.

It is an arithmetic number, because the mean of its divisors is an integer number (116517005689).

Almost surely, 2233034011377 is an apocalyptic number.

It is an amenable number.

233034011377 is a deficient number, since it is larger than the sum of its proper divisors (1).

233034011377 is an equidigital number, since it uses as much as digits as its factorization.

233034011377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 34.

The spelling of 233034011377 in words is "two hundred thirty-three billion, thirty-four million, eleven thousand, three hundred seventy-seven".