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2241365300161 = 1321151632
BaseRepresentation
bin100000100111011011110…
…010000101001111000001
321221021100121020111200121
4200213123302011033001
5243210304004101121
64433400301020241
7320635056463561
oct40473362051701
97837317214617
102241365300161
11794615309269
12302484854681
1313348a755300
147a6a85bada1
153d482c27141
hex209dbc853c1

2241365300161 has 9 divisors (see below), whose sum is σ = 2427061607139. Its totient is φ = 2068934619336.

The previous prime is 2241365300123. The next prime is 2241365300173. The reversal of 2241365300161 is 1610035631422.

The square root of 2241365300161 is 1497119.

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., 331562914225 + 1909802385936 = 575815^2 + 1381956^2 .

It is not a de Polignac number, because 2241365300161 - 211 = 2241365298113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2241365300191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19404966 + ... + 19520128.

Almost surely, 22241365300161 is an apocalyptic number.

2241365300161 is the 1497119-th square number.

2241365300161 is the 748560-th centered octagonal number.

It is an amenable number.

2241365300161 is a deficient number, since it is larger than the sum of its proper divisors (185696306978).

2241365300161 is an frugal number, since it uses more digits than its factorization.

2241365300161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230352 (or 115176 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 2241365300161 in words is "two trillion, two hundred forty-one billion, three hundred sixty-five million, three hundred thousand, one hundred sixty-one".

Divisors: 1 13 169 115163 1497119 19462547 13262516569 172412715397 2241365300161