Search a number
-
+
100012102000229 is a prime number
BaseRepresentation
bin10110101111010111100001…
…110100000001111001100101
3111010010001201100100211122102
4112233113201310001321211
5101102044241103001404
6552412531514341445
730031431056351606
oct2657274164017145
9433101640324572
10100012102000229
11299599922a6061
12b27302272a885
1343a6140471823
141a9a87c1c1dad
15b86826e8c71e
hex5af5e1d01e65

100012102000229 has 2 divisors, whose sum is σ = 100012102000230. Its totient is φ = 100012102000228.

The previous prime is 100012102000207. The next prime is 100012102000241. The reversal of 100012102000229 is 922000201210001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93668000437729 + 6344101562500 = 9678223^2 + 2518750^2 .

It is an emirp because it is prime and its reverse (922000201210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100012102000229 - 28 = 100012101999973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100012102000229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012102000429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006051000114 + 50006051000115.

It is an arithmetic number, because the mean of its divisors is an integer number (50006051000115).

Almost surely, 2100012102000229 is an apocalyptic number.

It is an amenable number.

100012102000229 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012102000229 is an equidigital number, since it uses as much as digits as its factorization.

100012102000229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100012102000229 in words is "one hundred trillion, twelve billion, one hundred two million, two hundred twenty-nine", and thus it is an aban number.