Search a number
-
+
2013212011229 is a prime number
BaseRepresentation
bin11101010010111100110…
…010010110101011011101
321010110110012120120011022
4131102330302112223131
5230441024233324404
64140505024133525
7265310161514156
oct35227462265335
97113405516138
102013212011229
11706886772431
122862107672a5
13117aca8374b3
146d62344692d
153757cd5c8be
hex1d4bcc96add

2013212011229 has 2 divisors, whose sum is σ = 2013212011230. Its totient is φ = 2013212011228.

The previous prime is 2013212011189. The next prime is 2013212011249. The reversal of 2013212011229 is 9221102123102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1833519105625 + 179692905604 = 1354075^2 + 423902^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013212011229 - 28 = 2013212010973 is a prime.

It is a super-3 number, since 3×20132120112293 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013212011198 and 2013212011207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013212011249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006606005614 + 1006606005615.

It is an arithmetic number, because the mean of its divisors is an integer number (1006606005615).

Almost surely, 22013212011229 is an apocalyptic number.

It is an amenable number.

2013212011229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013212011229 is an equidigital number, since it uses as much as digits as its factorization.

2013212011229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2013212011229 in words is "two trillion, thirteen billion, two hundred twelve million, eleven thousand, two hundred twenty-nine".