Search a number
-
+
12031022010181 is a prime number
BaseRepresentation
bin1010111100010011000011…
…0010110000111101000101
31120121011011121110111120111
42233010300302300331011
53034104013113311211
641330550351233021
72351132640522616
oct257046062607505
946534147414514
1012031022010181
113919367305249
121423838b18771
1369369c72a225
142d8439a63c0d
1515ce4b627421
hexaf130cb0f45

12031022010181 has 2 divisors, whose sum is σ = 12031022010182. Its totient is φ = 12031022010180.

The previous prime is 12031022010179. The next prime is 12031022010187. The reversal of 12031022010181 is 18101022013021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7935680557156 + 4095341453025 = 2817034^2 + 2023695^2 .

It is a cyclic number.

It is not a de Polignac number, because 12031022010181 - 21 = 12031022010179 is a prime.

It is a super-2 number, since 2×120310220101812 (a number of 27 digits) contains 22 as substring.

Together with 12031022010179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12031022010187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6015511005090 + 6015511005091.

It is an arithmetic number, because the mean of its divisors is an integer number (6015511005091).

Almost surely, 212031022010181 is an apocalyptic number.

It is an amenable number.

12031022010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031022010181 is an equidigital number, since it uses as much as digits as its factorization.

12031022010181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 12031022010181 in words is "twelve trillion, thirty-one billion, twenty-two million, ten thousand, one hundred eighty-one".