Search a number
-
+
331221032000029 is a prime number
BaseRepresentation
bin100101101001111100110011…
…1111101000101101000011101
31121102202102101012202202110201
41023103321213331011220131
5321403211133143000104
63132240501432503501
7126523633642005553
oct11323714775055035
91542672335682421
10331221032000029
11965a0061716576
1231194a3154ab91
13112a8017568ca2
145bb127d6adbd3
152845c449920a4
hex12d3e67f45a1d

331221032000029 has 2 divisors, whose sum is σ = 331221032000030. Its totient is φ = 331221032000028.

The previous prime is 331221032000021. The next prime is 331221032000057. The reversal of 331221032000029 is 920000230122133.

It is an a-pointer prime, because the next prime (331221032000057) can be obtained adding 331221032000029 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305193842160804 + 26027189839225 = 17469798^2 + 5101685^2 .

It is a cyclic number.

It is not a de Polignac number, because 331221032000029 - 23 = 331221032000021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331221031999970 and 331221032000006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331221032000021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610516000014 + 165610516000015.

It is an arithmetic number, because the mean of its divisors is an integer number (165610516000015).

Almost surely, 2331221032000029 is an apocalyptic number.

It is an amenable number.

331221032000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221032000029 is an equidigital number, since it uses as much as digits as its factorization.

331221032000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 331221032000029 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, thirty-two million, twenty-nine", and thus it is an aban number.