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911091249121 = 113284472
BaseRepresentation
bin11010100001000010100…
…01010010111111100001
310020002200111220220201211
431100201101102333201
5104411403324432441
61534314411230121
7122552455560544
oct15204121227741
93202614826654
10911091249121
11321434292489
121286aa748341
1367bb9582101
143215044a85b
1518a760e2a81
hexd421452fe1

911091249121 has 9 divisors (see below), whose sum is σ = 919334190931. Its totient is φ = 902921589472.

The previous prime is 911091249091. The next prime is 911091249143. The reversal of 911091249121 is 121942190119.

The square root of 911091249121 is 954511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16054157025 + 895037092096 = 126705^2 + 946064^2 .

It is a de Polignac number, because none of the positive numbers 2k-911091249121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (911091249221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107855520 + ... + 107863966.

Almost surely, 2911091249121 is an apocalyptic number.

911091249121 is the 954511-st square number.

911091249121 is the 477256-th centered octagonal number.

It is an amenable number.

911091249121 is a deficient number, since it is larger than the sum of its proper divisors (8242941810).

911091249121 is an frugal number, since it uses more digits than its factorization.

911091249121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17120 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 911091249121 in words is "nine hundred eleven billion, ninety-one million, two hundred forty-nine thousand, one hundred twenty-one".

Divisors: 1 113 8447 12769 954511 71351809 107859743 8062754417 911091249121