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2122232033 is a prime number
BaseRepresentation
bin111111001111110…
…1011000011100001
312110220100120001102
41332133223003201
513321242411113
6550330444145
7103406450255
oct17637530341
95426316042
102122232033
11999a43379
124b2893655
1327a8a31cc
14161bd6265
15c64a9758
hex7e7eb0e1

2122232033 has 2 divisors, whose sum is σ = 2122232034. Its totient is φ = 2122232032.

The previous prime is 2122232023. The next prime is 2122232087. The reversal of 2122232033 is 3302322212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1615396864 + 506835169 = 40192^2 + 22513^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122232033 - 210 = 2122231009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122231996 and 2122232014.

It is not a weakly prime, because it can be changed into another prime (2122232003) 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, 1061116016 + 1061116017.

It is an arithmetic number, because the mean of its divisors is an integer number (1061116017).

Almost surely, 22122232033 is an apocalyptic number.

It is an amenable number.

2122232033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122232033 is an equidigital number, since it uses as much as digits as its factorization.

2122232033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2122232033 is about 46067.6896859393. The cubic root of 2122232033 is about 1285.0823392458.

Adding to 2122232033 its reverse (3302322212), we get a palindrome (5424554245).

The spelling of 2122232033 in words is "two billion, one hundred twenty-two million, two hundred thirty-two thousand, thirty-three".