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2122136257 is a prime number
BaseRepresentation
bin111111001111101…
…0011101011000001
312110220011200200011
41332133103223001
513321231330012
6550324424521
7103405601113
oct17637235301
95426150604
102122136257
1199998841a
124b2848141
1327a86b737
14161bad3b3
15c648b1a7
hex7e7d3ac1

2122136257 has 2 divisors, whose sum is σ = 2122136258. Its totient is φ = 2122136256.

The previous prime is 2122136167. The next prime is 2122136267. The reversal of 2122136257 is 7526312212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099105856 + 23030401 = 45816^2 + 4799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122136257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122136267) 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, 1061068128 + 1061068129.

It is an arithmetic number, because the mean of its divisors is an integer number (1061068129).

Almost surely, 22122136257 is an apocalyptic number.

It is an amenable number.

2122136257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122136257 is an equidigital number, since it uses as much as digits as its factorization.

2122136257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 2122136257 is about 46066.6501603926. The cubic root of 2122136257 is about 1285.0630070999.

Adding to 2122136257 its reverse (7526312212), we get a palindrome (9648448469).

The spelling of 2122136257 in words is "two billion, one hundred twenty-two million, one hundred thirty-six thousand, two hundred fifty-seven".