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1224052364161 = 11223243732
BaseRepresentation
bin10001110011111111001…
…101001101001110000001
311100000111022110210210201
4101303333031031032001
5130023324401123121
62334153310125201
7154302105265504
oct21637715151601
94300438423721
101224052364161
11432132715300
121792907b0801
138b5736b9553
144335cab513b
1521c915c1e91
hex11cff34d381

1224052364161 has 27 divisors (see below), whose sum is σ = 1406808718147. Its totient is φ = 1064149958960.

The previous prime is 1224052364077. The next prime is 1224052364251. The reversal of 1224052364161 is 1614632504221.

The square root of 1224052364161 is 1106369.

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., 703409303025 + 520643061136 = 838695^2 + 721556^2 .

It is not a de Polignac number, because 1224052364161 - 29 = 1224052363649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1224052364161.

It is not an unprimeable number, because it can be changed into a prime (1224052364861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279909171 + ... + 279913543.

Almost surely, 21224052364161 is an apocalyptic number.

1224052364161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1224052364161 is the 1106369-th square number.

1224052364161 is the 553185-th centered octagonal number.

It is an amenable number.

1224052364161 is a deficient number, since it is larger than the sum of its proper divisors (182756353986).

1224052364161 is an frugal number, since it uses more digits than its factorization.

1224052364161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 1224052364161 its reverse (1614632504221), we get a palindrome (2838684868382).

The spelling of 1224052364161 in words is "one trillion, two hundred twenty-four billion, fifty-two million, three hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 11 23 121 253 529 2783 4373 5819 48103 64009 100579 529133 1106369 2313317 12170059 19123129 25446487 210354419 279911357 439831967 2313898609 4838151637 10116135241 53219668007 111277487651 1224052364161