Search a number
-
+
12220031000029 is a prime number
BaseRepresentation
bin1011000111010011001010…
…0110110101110111011101
31121021020000222020000120211
42301310302212311313131
53100203110414000104
641553445454012421
72400603521445346
oct261646246656735
947236028200524
1012220031000029
113991538a18886
1214543a77a7111
136a846194b8a8
1430364a1350cd
15162d0ebd5e04
hexb1d329b5ddd

12220031000029 has 2 divisors, whose sum is σ = 12220031000030. Its totient is φ = 12220031000028.

The previous prime is 12220031000017. The next prime is 12220031000053. The reversal of 12220031000029 is 92000013002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9698677632900 + 2521353367129 = 3114270^2 + 1587877^2 .

It is an emirp because it is prime and its reverse (92000013002221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220031000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220030999973 and 12220031000009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220031000629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110015500014 + 6110015500015.

It is an arithmetic number, because the mean of its divisors is an integer number (6110015500015).

Almost surely, 212220031000029 is an apocalyptic number.

It is an amenable number.

12220031000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220031000029 is an equidigital number, since it uses as much as digits as its factorization.

12220031000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 12220031000029 in words is "twelve trillion, two hundred twenty billion, thirty-one million, twenty-nine", and thus it is an aban number.