Search a number
-
+
23111105325 = 35271110139623
BaseRepresentation
bin10101100001100001…
…110111101100101101
32012122122121210102220
4111201201313230231
5334312420332300
614341143105553
71445500103550
oct254141675455
965578553386
1023111105325
11988a686550
12458ba422b9
1322440c0669
141193570697
15903e59da0
hex561877b2d

23111105325 has 96 divisors (see below), whose sum is σ = 48111777792. Its totient is φ = 9509280000.

The previous prime is 23111105321. The next prime is 23111105363. The reversal of 23111105325 is 52350111132.

It is not a de Polignac number, because 23111105325 - 22 = 23111105321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23111105295 and 23111105304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23111105321) 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 95 ways as a sum of consecutive naturals, for example, 563464 + ... + 603086.

It is an arithmetic number, because the mean of its divisors is an integer number (501164352).

Almost surely, 223111105325 is an apocalyptic number.

23111105325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23111105325 is an abundant number, since it is smaller than the sum of its proper divisors (25000672467).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23111105325 is a wasteful number, since it uses less digits than its factorization.

23111105325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39755 (or 39750 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 23111105325 its reverse (52350111132), we get a palindrome (75461216457).

The spelling of 23111105325 in words is "twenty-three billion, one hundred eleven million, one hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 101 105 165 175 231 275 303 385 505 525 707 825 1111 1155 1515 1925 2121 2525 3333 3535 5555 5775 7575 7777 10605 16665 17675 23331 27775 38885 39623 53025 83325 116655 118869 194425 198115 277361 435853 583275 594345 832083 990575 1307559 1386805 2179265 2971725 3050971 4001923 4160415 6537795 6934025 9152913 10896325 12005769 15254855 20009615 20802075 28013461 32688975 44021153 45764565 60028845 76274275 84040383 100048075 132063459 140067305 220105765 228822825 300144225 308148071 420201915 660317295 700336525 924444213 1100528825 1540740355 2101009575 3301586475 4622221065 7703701775 23111105325