Search a number
-
+
230133233201 is a prime number
BaseRepresentation
bin1101011001010100000…
…0100111011000110001
3211000000101021112110112
43112111000213120301
512232303101430301
6253415521511105
722424626130564
oct3262500473061
9730011245415
10230133233201
1189665235313
12387271a2495
1318917192591
14b1d20cc4db
155ebdb199bb
hex3595027631

230133233201 has 2 divisors, whose sum is σ = 230133233202. Its totient is φ = 230133233200.

The previous prime is 230133233131. The next prime is 230133233203. The reversal of 230133233201 is 102332331032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220411470400 + 9721762801 = 469480^2 + 98599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230133233201 is a prime.

It is a super-2 number, since 2×2301332332012 (a number of 24 digits) contains 22 as substring.

Together with 230133233203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (230133233203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115066616600 + 115066616601.

It is an arithmetic number, because the mean of its divisors is an integer number (115066616601).

Almost surely, 2230133233201 is an apocalyptic number.

It is an amenable number.

230133233201 is a deficient number, since it is larger than the sum of its proper divisors (1).

230133233201 is an equidigital number, since it uses as much as digits as its factorization.

230133233201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 230133233201 its reverse (102332331032), we get a palindrome (332465564233).

The spelling of 230133233201 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred one".