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112120220010112 = 271516199371441
BaseRepresentation
bin11001011111100100000101…
…111000101100011010000000
3112200222120212220112220201021
4121133210011320230122000
5104143434202310310422
61034243152404515224
732421263400325126
oct3137440570543200
9480876786486637
10112120220010112
11327a7a11255a36
12106a97969abb14
134a73b78492092
141d9890d047916
15ce6786b53dc7
hex65f905e2c680

112120220010112 has 64 divisors (see below), whose sum is σ = 225206996990400. Its totient is φ = 55598879232000.

The previous prime is 112120220010077. The next prime is 112120220010133. The reversal of 112120220010112 is 211010022021211.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7278312 + ... + 16649752.

It is an arithmetic number, because the mean of its divisors is an integer number (3518859327975).

Almost surely, 2112120220010112 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 112120220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112603498495200).

112120220010112 is an abundant number, since it is smaller than the sum of its proper divisors (113086776980288).

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

112120220010112 is an equidigital number, since it uses as much as digits as its factorization.

112120220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372225 (or 9372213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112120220010112 its reverse (211010022021211), we get a palindrome (323130242031323).

The spelling of 112120220010112 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 619 1208 1238 2416 2476 4832 4952 9664 9904 19328 19808 39616 79232 93469 186938 373876 747752 1495504 2991008 5982016 9371441 11964032 18742882 37485764 74971528 149943056 299886112 599772224 1199544448 1415087591 2830175182 5660350364 5800921979 11320700728 11601843958 22641401456 23203687916 45282802912 46407375832 90565605824 92814751664 181131211648 185629503328 371259006656 742518013312 875939218829 1751878437658 3503756875316 7007513750632 14015027501264 28030055002528 56060110005056 112120220010112