Search a number
-
+
233383229381 is a prime number
BaseRepresentation
bin1101100101011010111…
…0010111011111000101
3211022101212201110002102
43121112232113133011
512310432101320011
6255114220321445
722601311501241
oct3312656273705
9738355643072
10233383229381
118aa82826575
12392936a3285
13190145b7843
14b41d9ad421
15610e0e173b
hex3656b977c5

233383229381 has 2 divisors, whose sum is σ = 233383229382. Its totient is φ = 233383229380.

The previous prime is 233383229363. The next prime is 233383229389. The reversal of 233383229381 is 183922383332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233182752100 + 200477281 = 482890^2 + 14159^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233383229381 is a prime.

It is a super-2 number, since 2×2333832293812 (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 (233383229389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116691614690 + 116691614691.

It is an arithmetic number, because the mean of its divisors is an integer number (116691614691).

Almost surely, 2233383229381 is an apocalyptic number.

It is an amenable number.

233383229381 is a deficient number, since it is larger than the sum of its proper divisors (1).

233383229381 is an equidigital number, since it uses as much as digits as its factorization.

233383229381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1119744, while the sum is 47.

The spelling of 233383229381 in words is "two hundred thirty-three billion, three hundred eighty-three million, two hundred twenty-nine thousand, three hundred eighty-one".