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21182910093 = 3223295734607
BaseRepresentation
bin10011101110100110…
…011000111010001101
32000200021101022211200
4103232212120322031
5321340311110333
613421543140113
71346634523242
oct235646307215
960607338750
1021182910093
118a90222974
124132144639
131cc7797437
14104d4475c9
1583ea2cc13
hex4ee998e8d

21182910093 has 24 divisors (see below), whose sum is σ = 31939584768. Its totient is φ = 13502984352.

The previous prime is 21182909983. The next prime is 21182910107. The reversal of 21182910093 is 39001928112.

It is not a de Polignac number, because 21182910093 - 29 = 21182909581 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21182910493) 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 23 ways as a sum of consecutive naturals, for example, 594796 + ... + 629402.

It is an arithmetic number, because the mean of its divisors is an integer number (1330816032).

Almost surely, 221182910093 is an apocalyptic number.

21182910093 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21182910093 is a deficient number, since it is larger than the sum of its proper divisors (10756674675).

21182910093 is a wasteful number, since it uses less digits than its factorization.

21182910093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37593 (or 37590 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 21182910093 in words is "twenty-one billion, one hundred eighty-two million, nine hundred ten thousand, ninety-three".

Divisors: 1 3 9 23 69 207 2957 8871 26613 34607 68011 103821 204033 311463 612099 795961 2387883 7163649 102332899 306998697 920996091 2353656677 7060970031 21182910093