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220010011200112 = 247131101111483061
BaseRepresentation
bin110010000001100100010010…
…100100001000101001110000
31001211222202021221221020000111
4302001210102210020221300
5212314121000331400422
62055531112010231104
764225125114206650
oct6201442244105160
91054882257836014
10220010011200112
11641137a3745191
12208134b7725494
13959bb16681c63
143c487816bc360
151a67e72c96a77
hexc81912908a70

220010011200112 has 80 divisors (see below), whose sum is σ = 490932722294784. Its totient is φ = 93560916384000.

The previous prime is 220010011200103. The next prime is 220010011200113. The reversal of 220010011200112 is 211002110010022.

It is a junction number, because it is equal to n+sod(n) for n = 220010011200092 and 220010011200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010011200113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147607062 + ... + 149090122.

Almost surely, 2220010011200112 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 220010011200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245466361147392).

220010011200112 is an abundant number, since it is smaller than the sum of its proper divisors (270922711094672).

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

220010011200112 is a wasteful number, since it uses less digits than its factorization.

220010011200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493318 (or 1493312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220010011200112 its reverse (211002110010022), we get a palindrome (431012121210134).

The spelling of 220010011200112 in words is "two hundred twenty trillion, ten billion, eleven million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 7336 10111 14672 20222 40444 70777 80888 141554 161776 283108 566216 1132432 1324541 1483061 2649082 2966122 5298164 5932244 9271787 10381427 10596328 11864488 18543574 20762854 21192656 23728976 37087148 41525708 74174296 83051416 148348592 166102832 194280991 388561982 777123964 1359966937 1554247928 2719933874 3108495856 5439867748 10879735496 14995229771 21759470992 29990459542 59980919084 104966608397 119961838168 209933216794 239923676336 419866433588 839732867176 1679465734352 1964375100001 3928750200002 7857500400004 13750625700007 15715000800008 27501251400014 31430001600016 55002502800028 110005005600056 220010011200112