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23205233312105 = 513734890460129
BaseRepresentation
bin1010100011010111000111…
…01100000100000101101001
310001011101202121102021012112
411101223203230010011221
511020143304211441410
6121204200443452105
74613344212446465
oct521534354040551
9101141677367175
1023205233312105
117437314277839
1227293b5827035
13cc4323410390
145a31d42ab4a5
152a394c1e0105
hex151ae3b04169

23205233312105 has 16 divisors (see below), whose sum is σ = 30399100168080. Its totient is φ = 16901430202368.

The previous prime is 23205233312087. The next prime is 23205233312117. The reversal of 23205233312105 is 50121333250232.

It can be written as a sum of positive squares in 8 ways, for example, as 3204901970176 + 20000331341929 = 1790224^2 + 4472173^2 .

It is a cyclic number.

It is not a de Polignac number, because 23205233312105 - 224 = 23205216534889 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445225320 + ... + 2445234809.

It is an arithmetic number, because the mean of its divisors is an integer number (1899943760505).

Almost surely, 223205233312105 is an apocalyptic number.

It is an amenable number.

23205233312105 is a deficient number, since it is larger than the sum of its proper divisors (7193866855975).

23205233312105 is a wasteful number, since it uses less digits than its factorization.

23205233312105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890460220.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 23205233312105 its reverse (50121333250232), we get a palindrome (73326566562337).

The spelling of 23205233312105 in words is "twenty-three trillion, two hundred five billion, two hundred thirty-three million, three hundred twelve thousand, one hundred five".

Divisors: 1 5 13 65 73 365 949 4745 4890460129 24452300645 63575981677 317879908385 357003589417 1785017947085 4641046662421 23205233312105