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21113526231 = 337111711779
BaseRepresentation
bin10011101010011101…
…101101011111010111
32000111102211021002000
4103222131231133113
5321220030314411
613411024050343
71345133004030
oct235235553727
960442737060
1021113526231
118a55042836
124112a639b3
131cb62b31b5
141044145a87
158388c4956
hex4ea76d7d7

21113526231 has 16 divisors (see below), whose sum is σ = 35747769600. Its totient is φ = 12064872024.

The previous prime is 21113526163. The next prime is 21113526233. The reversal of 21113526231 is 13262531112.

21113526231 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 35 + 2 + 623 + 1 = 666.

It is not a de Polignac number, because 21113526231 - 211 = 21113524183 is a prime.

It is a super-2 number, since 2×211135262312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21113526195 and 21113526204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113526233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55855701 + ... + 55856078.

It is an arithmetic number, because the mean of its divisors is an integer number (2234235600).

Almost surely, 221113526231 is an apocalyptic number.

21113526231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21113526231 is a deficient number, since it is larger than the sum of its proper divisors (14634243369).

21113526231 is a wasteful number, since it uses less digits than its factorization.

21113526231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111711795 (or 111711789 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The spelling of 21113526231 in words is "twenty-one billion, one hundred thirteen million, five hundred twenty-six thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 111711779 335135337 781982453 1005406011 2345947359 3016218033 7037842077 21113526231