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2121110112 = 253112969263
BaseRepresentation
bin111111001101101…
…1001001001100000
312110211020120001210
41332123121021200
513321001010422
6550250430120
7103364065332
oct17633311140
95424216053
102121110112
11999347470
124b2432340
1327a59c654
141619c3452
15c633710c
hex7e6d9260

2121110112 has 96 divisors (see below), whose sum is σ = 6283630080. Its totient is φ = 620587520.

The previous prime is 2121110059. The next prime is 2121110129. The reversal of 2121110112 is 2110111212.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4008 + ... + 65255.

It is an arithmetic number, because the mean of its divisors is an integer number (65454480).

Almost surely, 22121110112 is an apocalyptic number.

2121110112 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 2121110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141815040).

2121110112 is an abundant number, since it is smaller than the sum of its proper divisors (4162519968).

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

2121110112 is a wasteful number, since it uses less digits than its factorization.

2121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69316 (or 69308 counting only the distinct ones).

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

The square root of 2121110112 is about 46055.5112011581. The cubic root of 2121110112 is about 1284.8558457901.

Adding to 2121110112 its reverse (2110111212), we get a palindrome (4231221324).

The spelling of 2121110112 in words is "two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 69263 138526 207789 277052 415578 554104 761893 831156 1108208 1523786 1662312 2008627 2216416 2285679 3047572 3324624 4017254 4571358 6025881 6095144 6649248 8034508 9142716 12051762 12190288 16069016 18285432 22094897 24103524 24380576 32138032 36570864 44189794 48207048 64276064 66284691 73141728 88379588 96414096 132569382 176759176 192828192 265138764 353518352 530277528 707036704 1060555056 2121110112