Search a number
-
+
2967117701 is a prime number
BaseRepresentation
bin1011000011011010…
…1001111110000101
321122210011012022012
42300312221332011
522034040231301
61210231344005
7133346040632
oct26066517605
97583135265
102967117701
111292951499
126a9822005
13383940662
142020c7189
1512574aebb
hexb0da9f85

2967117701 has 2 divisors, whose sum is σ = 2967117702. Its totient is φ = 2967117700.

The previous prime is 2967117683. The next prime is 2967117707. The reversal of 2967117701 is 1077117692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2208060100 + 759057601 = 46990^2 + 27551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2967117701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2967117707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1483558850 + 1483558851.

It is an arithmetic number, because the mean of its divisors is an integer number (1483558851).

Almost surely, 22967117701 is an apocalyptic number.

It is an amenable number.

2967117701 is a deficient number, since it is larger than the sum of its proper divisors (1).

2967117701 is an equidigital number, since it uses as much as digits as its factorization.

2967117701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 41.

The square root of 2967117701 is about 54471.2557318078. The cubic root of 2967117701 is about 1436.9608131938.

The spelling of 2967117701 in words is "two billion, nine hundred sixty-seven million, one hundred seventeen thousand, seven hundred one".