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2010121213 is a prime number
BaseRepresentation
bin111011111010000…
…0000001111111101
312012002101201220211
41313310000033331
513104042334323
6531243512421
7100545514462
oct16764001775
95162351824
102010121213
1194172a901
12481228711
132605ac149
14150d71669
15bb71170d
hex77d003fd

2010121213 has 2 divisors, whose sum is σ = 2010121214. Its totient is φ = 2010121212.

The previous prime is 2010121187. The next prime is 2010121219. The reversal of 2010121213 is 3121210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1364046489 + 646074724 = 36933^2 + 25418^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010121213 - 29 = 2010120701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010121193 and 2010121202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010121219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005060606 + 1005060607.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060607).

Almost surely, 22010121213 is an apocalyptic number.

It is an amenable number.

2010121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010121213 is an equidigital number, since it uses as much as digits as its factorization.

2010121213 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 13.

The square root of 2010121213 is about 44834.3753497247. The cubic root of 2010121213 is about 1262.0427963533.

Adding to 2010121213 its reverse (3121210102), we get a palindrome (5131331315).

Subtracting 2010121213 from its reverse (3121210102), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 20101 and 21213, that added together give a palindrome (41314).

The spelling of 2010121213 in words is "two billion, ten million, one hundred twenty-one thousand, two hundred thirteen".