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21111200112 = 2433755721341
BaseRepresentation
bin10011101010010100…
…110101100101110000
32000111021110002020110
4103222110311211300
5321213431400422
613410502141320
71345104145242
oct235224654560
960437402213
1021111200112
118a537a4122
124112121840
131cb597a4b2
141043adc092
158385b560c
hex4ea535970

21111200112 has 80 divisors (see below), whose sum is σ = 56114435232. Its totient is φ = 6834263040.

The previous prime is 21111200101. The next prime is 21111200153. The reversal of 21111200112 is 21100211112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978562 + ... + 999902.

Almost surely, 221111200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28057217616).

21111200112 is an abundant number, since it is smaller than the sum of its proper divisors (35003235120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21111200112 is a wasteful number, since it uses less digits than its factorization.

21111200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21111200112 its reverse (21100211112), we get a palindrome (42211411224).

It can be divided in two parts, 211 and 11200112, that multiplied together give a palindrome (2363223632).

The spelling of 21111200112 in words is "twenty-one billion, one hundred eleven million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 557 592 888 1114 1671 1776 2228 3342 4456 6684 8912 13368 20609 21341 26736 41218 42682 61827 64023 82436 85364 123654 128046 164872 170728 247308 256092 329744 341456 494616 512184 789617 989232 1024368 1579234 2368851 3158468 4737702 6316936 9475404 11886937 12633872 18950808 23773874 35660811 37901616 47547748 71321622 95095496 142643244 190190992 285286488 439816669 570572976 879633338 1319450007 1759266676 2638900014 3518533352 5277800028 7037066704 10555600056 21111200112