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2153122033 is a prime number
BaseRepresentation
bin1000000001010110…
…0000100011110001
312120001110221011111
42000111200203301
513402144401113
6553352513321
7104233143466
oct20025404361
95501427144
102153122033
11a054214a7
125010ab841
132840ca30a
14165d5766d
15c905c13d
hex805608f1

2153122033 has 2 divisors, whose sum is σ = 2153122034. Its totient is φ = 2153122032.

The previous prime is 2153121947. The next prime is 2153122039. The reversal of 2153122033 is 3302213512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1979093169 + 174028864 = 44487^2 + 13192^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153122033 - 229 = 1616251121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2153121995 and 2153122013.

It is not a weakly prime, because it can be changed into another prime (2153122039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076561016 + 1076561017.

It is an arithmetic number, because the mean of its divisors is an integer number (1076561017).

Almost surely, 22153122033 is an apocalyptic number.

It is an amenable number.

2153122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153122033 is an equidigital number, since it uses as much as digits as its factorization.

2153122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2153122033 is about 46401.7460124078. The cubic root of 2153122033 is about 1291.2873059853.

Adding to 2153122033 its reverse (3302213512), we get a palindrome (5455335545).

The spelling of 2153122033 in words is "two billion, one hundred fifty-three million, one hundred twenty-two thousand, thirty-three".