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10224104121 = 337114917799
BaseRepresentation
bin10011000010110011…
…10111001010111001
3222101112110022012000
421201121313022321
5131414332312441
64410310011213
7511235310510
oct114131671271
928345408160
1010224104121
114377270830
121b94046b09
13c6c263c6a
146cdc1b677
153ec8c92b6
hex2616772b9

10224104121 has 32 divisors (see below), whose sum is σ = 18884352000. Its totient is φ = 5311221840.

The previous prime is 10224104101. The next prime is 10224104153. The reversal of 10224104121 is 12140142201.

10224104121 is a `hidden beast` number, since 10 + 2 + 241 + 0 + 412 + 1 = 666.

10224104121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10224104121 - 217 = 10223973049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10224104094 and 10224104103.

It is not an unprimeable number, because it can be changed into a prime (10224104101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456821 + ... + 2460978.

It is an arithmetic number, because the mean of its divisors is an integer number (590136000).

Almost surely, 210224104121 is an apocalyptic number.

10224104121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10224104121 is a deficient number, since it is larger than the sum of its proper divisors (8660247879).

10224104121 is a wasteful number, since it uses less digits than its factorization.

10224104121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917826 (or 4917820 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10224104121 its reverse (12140142201), we get a palindrome (22364246322).

The spelling of 10224104121 in words is "ten billion, two hundred twenty-four million, one hundred four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 4917799 14753397 34424593 44260191 54095789 103273779 132780573 162287367 309821337 378670523 486862101 929464011 1136011569 1460586303 3408034707 10224104121