Search a number
-
+
2122130233 is a prime number
BaseRepresentation
bin111111001111101…
…0010001100111001
312110220011101102001
41332133102030321
513321231131413
6550324341001
7103405544416
oct17637221471
95426141361
102122130233
11999983943
124b2844761
1327a868a82
14161bab10d
15c64894dd
hex7e7d2339

2122130233 has 2 divisors, whose sum is σ = 2122130234. Its totient is φ = 2122130232.

The previous prime is 2122130201. The next prime is 2122130237. The reversal of 2122130233 is 3320312212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1971626409 + 150503824 = 44403^2 + 12268^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122130233 - 25 = 2122130201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122130233.

It is not a weakly prime, because it can be changed into another prime (2122130237) 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, 1061065116 + 1061065117.

It is an arithmetic number, because the mean of its divisors is an integer number (1061065117).

Almost surely, 22122130233 is an apocalyptic number.

It is an amenable number.

2122130233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122130233 is an equidigital number, since it uses as much as digits as its factorization.

2122130233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2122130233 is about 46066.5847768206. The cubic root of 2122130233 is about 1285.0617911512.

Adding to 2122130233 its reverse (3320312212), we get a palindrome (5442442445).

It can be divided in two parts, 2122 and 130233, that added together give a triangular number (132355 = T514).

The spelling of 2122130233 in words is "two billion, one hundred twenty-two million, one hundred thirty thousand, two hundred thirty-three".