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2121044112 = 2432119411423
BaseRepresentation
bin111111001101100…
…1001000010010000
312110211010012112100
41332123021002100
513320441402422
6550245200400
7103363402035
oct17633110220
95424105470
102121044112
11999301920
124b2400100
1327a5785b5
141619a738c
15c63227ac
hex7e6c9090

2121044112 has 120 divisors (see below), whose sum is σ = 6487049088. Its totient is φ = 641606400.

The previous prime is 2121044111. The next prime is 2121044141. The reversal of 2121044112 is 2114401212.

2121044112 is a `hidden beast` number, since 2 + 1 + 210 + 441 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2121044111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1489833 + ... + 1491255.

Almost surely, 22121044112 is an apocalyptic number.

2121044112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243524544).

2121044112 is an abundant number, since it is smaller than the sum of its proper divisors (4366004976).

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

2121044112 is a wasteful number, since it uses less digits than its factorization.

2121044112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2121044112 is about 46054.7946689593. The cubic root of 2121044112 is about 1284.8425192204.

Adding to 2121044112 its reverse (2114401212), we get a palindrome (4235445324).

The spelling of 2121044112 in words is "two billion, one hundred twenty-one million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 941 1423 1584 1882 2823 2846 3764 4269 5646 5692 7528 8469 8538 10351 11292 11384 12807 15056 15653 16938 17076 20702 22584 22768 25614 31053 31306 33876 34152 41404 45168 46959 51228 62106 62612 67752 68304 82808 93159 93918 102456 124212 125224 135504 140877 165616 186318 187836 204912 248424 250448 281754 372636 375672 496848 563508 745272 751344 1127016 1339043 1490544 2254032 2678086 4017129 5356172 8034258 10712344 12051387 14729473 16068516 21424688 24102774 29458946 32137032 44188419 48205548 58917892 64274064 88376838 96411096 117835784 132565257 176753676 192822192 235671568 265130514 353507352 530261028 707014704 1060522056 2121044112