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2012102022031 is a prime number
BaseRepresentation
bin11101010001111010101…
…000000101001110001111
321010100120211221021020021
4131101322220011032033
5230431241104201111
64140202533203011
7265240522665103
oct35217250051617
97110524837207
102012102022031
11706367155092
12285b60a90467
13117981899b5a
146d559c67903
15375156a1d71
hex1d47aa0538f

2012102022031 has 2 divisors, whose sum is σ = 2012102022032. Its totient is φ = 2012102022030.

The previous prime is 2012102022013. The next prime is 2012102022067. The reversal of 2012102022031 is 1302202012102.

It is a happy number.

Together with previous prime (2012102022013) 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 not a de Polignac number, because 2012102022031 - 227 = 2011967804303 is a prime.

It is a super-2 number, since 2×20121020220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012102021996 and 2012102022014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012102022131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006051011015 + 1006051011016.

It is an arithmetic number, because the mean of its divisors is an integer number (1006051011016).

Almost surely, 22012102022031 is an apocalyptic number.

2012102022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012102022031 is an equidigital number, since it uses as much as digits as its factorization.

2012102022031 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.

Adding to 2012102022031 its reverse (1302202012102), we get a palindrome (3314304034133).

The spelling of 2012102022031 in words is "two trillion, twelve billion, one hundred two million, twenty-two thousand, thirty-one".