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2114400031 is a prime number
BaseRepresentation
bin111111000000111…
…0010111100011111
312110100121122120021
41332001302330133
513312241300111
6545450533011
7103253050402
oct17601627437
95410548507
102114400031
11995584047
124b0137167
132790903a3
14160b57d39
15c595dd71
hex7e072f1f

2114400031 has 2 divisors, whose sum is σ = 2114400032. Its totient is φ = 2114400030.

The previous prime is 2114399993. The next prime is 2114400061. The reversal of 2114400031 is 1300044112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2114400031 is a prime.

It is a super-2 number, since 2×21144000312 = 8941374982185601922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114399978 and 2114400014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114400061) 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, 1057200015 + 1057200016.

It is an arithmetic number, because the mean of its divisors is an integer number (1057200016).

Almost surely, 22114400031 is an apocalyptic number.

2114400031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114400031 is an equidigital number, since it uses as much as digits as its factorization.

2114400031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2114400031 is about 45982.6057439115. The cubic root of 2114400031 is about 1283.4995443499.

Adding to 2114400031 its reverse (1300044112), we get a palindrome (3414444143).

The spelling of 2114400031 in words is "two billion, one hundred fourteen million, four hundred thousand, thirty-one".