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21122109999 = 327983359997
BaseRepresentation
bin10011101010111110…
…011101001000101111
32000112000222100210100
4103222332131020233
5321224230004444
613411532042143
71345265654424
oct235276351057
960460870710
1021122109999
118a59975961
124115903353
131cb7cca253
14104533bd4b
1583951ce69
hex4eaf9d22f

21122109999 has 48 divisors (see below), whose sum is σ = 31386700800. Its totient is φ = 13683653568.

The previous prime is 21122109959. The next prime is 21122110001. The reversal of 21122109999 is 99990122112.

It is not a de Polignac number, because 21122109999 - 233 = 12532175407 is a prime.

It is a super-2 number, since 2×211221099992 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122109929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21185169 + ... + 21186165.

It is an arithmetic number, because the mean of its divisors is an integer number (653889600).

Almost surely, 221122109999 is an apocalyptic number.

21122109999 is a deficient number, since it is larger than the sum of its proper divisors (10264590801).

21122109999 is a wasteful number, since it uses less digits than its factorization.

21122109999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 21122109999 in words is "twenty-one billion, one hundred twenty-two million, one hundred nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 79 83 237 249 359 711 747 997 1077 2991 3231 6557 8973 19671 28361 29797 59013 78763 82751 85083 89391 236289 248253 255249 268173 357923 708867 744759 1073769 2353963 3221307 6537329 7061889 19611987 21185667 28275917 29707609 58835961 84827751 89122827 254483253 267368481 2346901111 7040703333 21122109999