Search a number
-
+
233031133001 is a prime number
BaseRepresentation
bin1101100100000110111…
…1001110011101001001
3211021111100012002122202
43121001233032131021
512304221432224001
6255015241525545
722556504643212
oct3310157163511
9737440162582
10233031133001
118a911aaa327
12391b57a38b5
1318c896793a4
14b3c8d18409
1560dd24196b
hex3641bce749

233031133001 has 2 divisors, whose sum is σ = 233031133002. Its totient is φ = 233031133000.

The previous prime is 233031132991. The next prime is 233031133003. The reversal of 233031133001 is 100331130332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133187772601 + 99843360400 = 364949^2 + 315980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233031133001 is a prime.

It is a Sophie Germain prime.

Together with 233031133003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (233031133003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116515566500 + 116515566501.

It is an arithmetic number, because the mean of its divisors is an integer number (116515566501).

Almost surely, 2233031133001 is an apocalyptic number.

It is an amenable number.

233031133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233031133001 is an equidigital number, since it uses as much as digits as its factorization.

233031133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 233031133001 its reverse (100331130332), we get a palindrome (333362263333).

The spelling of 233031133001 in words is "two hundred thirty-three billion, thirty-one million, one hundred thirty-three thousand, one".