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112220002221210 = 232513852111256253
BaseRepresentation
bin11001100001000001000001…
…010111100111110010011010
3112201100010102220101102202100
4121201001001113213302122
5104202103031032034320
61034401053551544230
732431425161166432
oct3141010127476232
9481303386342670
10112220002221210
1132836265759004
1210704ba382b076
134a803bab29640
141d9d6971b52c2
15ce9176bbd790
hex6610415e7c9a

112220002221210 has 96 divisors (see below), whose sum is σ = 314252909622288. Its totient is φ = 27620140907520.

The previous prime is 112220002221139. The next prime is 112220002221241. The reversal of 112220002221210 is 12122200022211.

It is a happy number.

112220002221210 is a `hidden beast` number, since 1 + 12 + 220 + 0 + 0 + 2 + 221 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38605506968889 + 73614495252321 = 6213333^2 + 8579889^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4341444 + ... + 15597696.

Almost surely, 2112220002221210 is an apocalyptic number.

112220002221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112220002221210 is an abundant number, since it is smaller than the sum of its proper divisors (202032907401078).

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

112220002221210 is a wasteful number, since it uses less digits than its factorization.

112220002221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264800 (or 11264797 counting only the distinct ones).

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

Adding to 112220002221210 its reverse (12122200022211), we get a palindrome (124342202243421).

The spelling of 112220002221210 in words is "one hundred twelve trillion, two hundred twenty billion, two million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8521 17042 25563 42605 51126 76689 85210 110773 127815 153378 221546 255630 332319 383445 553865 664638 766890 996957 1107730 1661595 1993914 3323190 4984785 9969570 11256253 22512506 33768759 56281265 67537518 101306277 112562530 146331289 168843795 202612554 292662578 337687590 438993867 506531385 731656445 877987734 1013062770 1316981601 1463312890 2194969335 2633963202 4389938670 6584908005 13169816010 95914531813 191829063626 287743595439 479572659065 575487190878 863230786317 959145318130 1246888913569 1438717977195 1726461572634 2493777827138 2877435954390 3740666740707 4316153931585 6234444567845 7481333481414 8632307863170 11222000222121 12468889135690 18703333703535 22444000444242 37406667407070 56110001110605 112220002221210