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2400420311 is a prime number
BaseRepresentation
bin1000111100010011…
…1000000111010111
320012021210222121222
42033010320013113
514404001422221
61034105200555
7113325143642
oct21704700727
96167728558
102400420311
111021a7a343
1256ba9015b
132c3405063
1418ab2ca59
15e0b0a9ab
hex8f1381d7

2400420311 has 2 divisors, whose sum is σ = 2400420312. Its totient is φ = 2400420310.

The previous prime is 2400420299. The next prime is 2400420313. The reversal of 2400420311 is 1130240042.

2400420311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400420311 is a prime.

It is a super-2 number, since 2×24004203112 = 11524035338922673442, which contains 22 as substring.

Together with 2400420313, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2400420311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400420313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200210155 + 1200210156.

It is an arithmetic number, because the mean of its divisors is an integer number (1200210156).

Almost surely, 22400420311 is an apocalyptic number.

2400420311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400420311 is an equidigital number, since it uses as much as digits as its factorization.

2400420311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2400420311 is about 48994.0844490434. The cubic root of 2400420311 is about 1338.9440539446.

Adding to 2400420311 its reverse (1130240042), we get a palindrome (3530660353).

The spelling of 2400420311 in words is "two billion, four hundred million, four hundred twenty thousand, three hundred eleven".