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2400021114133 is a prime number
BaseRepresentation
bin100010111011001100011…
…001111110110100010101
322111102212121010221002211
4202323030121332310111
5303310220401123013
65034315433433421
7335252521605226
oct42731431766425
98442777127084
102400021114133
11845930394585
1232918226b871
13145423385c86
148423978b24d
154266b69723d
hex22ecc67ed15

2400021114133 has 2 divisors, whose sum is σ = 2400021114134. Its totient is φ = 2400021114132.

The previous prime is 2400021114097. The next prime is 2400021114151. The reversal of 2400021114133 is 3314111200042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2399348334289 + 672779844 = 1548983^2 + 25938^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400021114133 - 221 = 2400019016981 is a prime.

It is a super-2 number, since 2×24000211141332 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400021114433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200010557066 + 1200010557067.

It is an arithmetic number, because the mean of its divisors is an integer number (1200010557067).

Almost surely, 22400021114133 is an apocalyptic number.

It is an amenable number.

2400021114133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400021114133 is an equidigital number, since it uses as much as digits as its factorization.

2400021114133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2400021114133 its reverse (3314111200042), we get a palindrome (5714132314175).

The spelling of 2400021114133 in words is "two trillion, four hundred billion, twenty-one million, one hundred fourteen thousand, one hundred thirty-three".