Search a number
-
+
31000969 is a prime number
BaseRepresentation
bin111011001000…
…0100110001001
32011100000100001
41312100212021
530414012334
63024243001
7524334556
oct166204611
964300301
1031000969
111655453a
12a470461
13656578c
14418da2d
152ac5714
hex1d90989

31000969 has 2 divisors, whose sum is σ = 31000970. Its totient is φ = 31000968.

The previous prime is 31000939. The next prime is 31000997. The reversal of 31000969 is 96900013.

It is a happy number.

It is an a-pointer prime, because the next prime (31000997) can be obtained adding 31000969 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29560969 + 1440000 = 5437^2 + 1200^2 .

It is a cyclic number.

It is not a de Polignac number, because 31000969 - 27 = 31000841 is a prime.

It is a super-2 number, since 2×310009692 = 1922120157877922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31000939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500484 + 15500485.

It is an arithmetic number, because the mean of its divisors is an integer number (15500485).

Almost surely, 231000969 is an apocalyptic number.

It is an amenable number.

31000969 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000969 is an equidigital number, since it uses as much as digits as its factorization.

31000969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 31000969 is about 5567.8513809189. The cubic root of 31000969 is about 314.1413383210.

It can be divided in two parts, 310009 and 69, that added together give a triangular number (310078 = T787).

The spelling of 31000969 in words is "thirty-one million, nine hundred sixty-nine", and thus it is an aban number.