Search a number
-
+
969901001100001 = 19728138329457117
BaseRepresentation
bin1101110010000111101010110…
…0101000110100101011100001
311201012010122000101120100011001
43130201322230220310223201
52004111324222240200001
613314450211354152001
7411203014653656545
oct33441725450645341
94635118011510131
10969901001100001
11261049782943763
129094538aa22601
133282636c63c769
141317165d421a25
15771e53e135001
hex3721eaca34ae1

969901001100001 has 16 divisors (see below), whose sum is σ = 978321146037840. Its totient is φ = 961516371594240.

The previous prime is 969901001099977. The next prime is 969901001100007. The reversal of 969901001100001 is 100001100109969.

969901001100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3055769701776 + 966845231398225 = 1748076^2 + 31094135^2 .

It is a cyclic number.

It is not a de Polignac number, because 969901001100001 - 239 = 969351245286113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (969901001100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121549895 + ... + 2122007011.

It is an arithmetic number, because the mean of its divisors is an integer number (61145071627365).

Almost surely, 2969901001100001 is an apocalyptic number.

It is an amenable number.

969901001100001 is a deficient number, since it is larger than the sum of its proper divisors (8420144937839).

969901001100001 is a wasteful number, since it uses less digits than its factorization.

969901001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495924.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 969901001100001 in words is "nine hundred sixty-nine trillion, nine hundred one billion, one million, one hundred thousand, one".

Divisors: 1 197 281 38329 55357 457117 7550813 10770449 90052049 128449877 2121778453 17520837493 25304625769 3451604986121 4923355335533 969901001100001