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12421404333 = 3213106165849
BaseRepresentation
bin10111001000101111…
…11001011010101101
31012001200001201102100
423210113321122231
5200414334414313
65412321445313
7616546123542
oct134427713255
935050051370
1012421404333
1152a4616a18
1224a7aa0839
13122c55b7c0
1485b994bc9
154ca761173
hex2e45f96ad

12421404333 has 12 divisors (see below), whose sum is σ = 19322184700. Its totient is φ = 7643941056.

The previous prime is 12421404329. The next prime is 12421404341. The reversal of 12421404333 is 33340412421.

12421404333 is a `hidden beast` number, since 12 + 4 + 214 + 0 + 433 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5149067049 + 7272337284 = 71757^2 + 85278^2 .

It is not a de Polignac number, because 12421404333 - 22 = 12421404329 is a prime.

It is a super-3 number, since 3×124214043333 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12421404297 and 12421404306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421404313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53082808 + ... + 53083041.

Almost surely, 212421404333 is an apocalyptic number.

12421404333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12421404333 is a deficient number, since it is larger than the sum of its proper divisors (6900780367).

12421404333 is a wasteful number, since it uses less digits than its factorization.

12421404333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106165868 (or 106165865 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12421404333 its reverse (33340412421), we get a palindrome (45761816754).

The spelling of 12421404333 in words is "twelve billion, four hundred twenty-one million, four hundred four thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 106165849 318497547 955492641 1380156037 4140468111 12421404333