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2000212031 is a prime number
BaseRepresentation
bin111011100111000…
…1101000000111111
312011101202022002002
41313032031000333
513044023241111
6530251252515
7100365343646
oct16716150077
95141668062
102000212031
119370819a4
12479a4a13b
1325b51ca1c
1414d91235d
15ba90563b
hex7738d03f

2000212031 has 2 divisors, whose sum is σ = 2000212032. Its totient is φ = 2000212030.

The previous prime is 2000212013. The next prime is 2000212057. The reversal of 2000212031 is 1302120002.

It is a happy number.

Together with previous prime (2000212013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000212031 is a prime.

It is a super-2 number, since 2×20002120312 = 8001696337914289922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000212531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000106015 + 1000106016.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106016).

Almost surely, 22000212031 is an apocalyptic number.

2000212031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000212031 is an equidigital number, since it uses as much as digits as its factorization.

2000212031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2000212031 is about 44723.7300658163. The cubic root of 2000212031 is about 1259.9655720416.

Adding to 2000212031 its reverse (1302120002), we get a palindrome (3302332033).

It can be divided in two parts, 20002120 and 31, that multiplied together give a triangular number (620065720 = T35215).

The spelling of 2000212031 in words is "two billion, two hundred twelve thousand, thirty-one".