Search a number
-
+
967989000031 is a prime number
BaseRepresentation
bin11100001011000001010…
…00111111011101011111
310102112112211002010202121
432011200220333131133
5111324420141000111
62020404335403411
7126635445512344
oct16054050773537
93375484063677
10967989000031
11343581611919
12137729683567
13703863a7641
1434bcacbc7cb
151a2a6305871
hexe160a3f75f

967989000031 has 2 divisors, whose sum is σ = 967989000032. Its totient is φ = 967989000030.

The previous prime is 967988999981. The next prime is 967989000037. The reversal of 967989000031 is 130000989769.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 967989000031 - 27 = 967988999903 is a prime.

It is a super-2 number, since 2×9679890000312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967989000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483994500015 + 483994500016.

It is an arithmetic number, because the mean of its divisors is an integer number (483994500016).

Almost surely, 2967989000031 is an apocalyptic number.

967989000031 is the 439998-th centered decagonal number.

967989000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

967989000031 is an equidigital number, since it uses as much as digits as its factorization.

967989000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 967989000031 in words is "nine hundred sixty-seven billion, nine hundred eighty-nine million, thirty-one", and thus it is an aban number.