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2120010112 = 27116912179
BaseRepresentation
bin111111001011100…
…1100100110000000
312110202011200011001
41332113030212000
513320210310422
6550211101344
7103351534333
oct17627144600
95422150131
102120010112
11998765a80
124b1ba1854
1327a2a5a6c
141617b861a
15c61bb227
hex7e5cc980

2120010112 has 64 divisors (see below), whose sum is σ = 4616193600. Its totient is φ = 961804800.

The previous prime is 2120010107. The next prime is 2120010131. The reversal of 2120010112 is 2110100212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971839 + ... + 974017.

It is an arithmetic number, because the mean of its divisors is an integer number (72128025).

Almost surely, 22120010112 is an apocalyptic number.

2120010112 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 2120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308096800).

2120010112 is an abundant number, since it is smaller than the sum of its proper divisors (2496183488).

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

2120010112 is a wasteful number, since it uses less digits than its factorization.

2120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2120010112 is about 46043.5675420574. The cubic root of 2120010112 is about 1284.6337001928.

Adding to 2120010112 its reverse (2110100212), we get a palindrome (4230110324).

The spelling of 2120010112 in words is "two billion, one hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 691 704 1382 1408 2179 2764 4358 5528 7601 8716 11056 15202 17432 22112 23969 30404 34864 44224 47938 60808 69728 88448 95876 121616 139456 191752 243232 278912 383504 486464 767008 972928 1505689 1534016 3011378 3068032 6022756 12045512 16562579 24091024 33125158 48182048 66250316 96364096 132500632 192728192 265001264 530002528 1060005056 2120010112