Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2122111100112 = 2432691232313337
BaseRepresentation
bin11110111000010111101…
…011011010010011010000
321111212112120102110101120
4132320113223122103100
5234232040420200422
64302515005402240
7306213614505213
oct36702753322320
97455476373346
102122111100112
11748a89435743
122a3342869380
13125163c24ab3
14749d433177a
153a30348e45c
hex1ee17ada4d0

2122111100112 has 80 divisors (see below), whose sum is σ = 5503359101760. Its totient is φ = 704630711296.

The previous prime is 2122111100111. The next prime is 2122111100143. The reversal of 2122111100112 is 2110011112212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122111100091 and 2122111100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111100111) 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, 159107908 + ... + 159121244.

It is an arithmetic number, because the mean of its divisors is an integer number (68791988772).

Almost surely, 22122111100112 is an apocalyptic number.

It is an amenable number.

2122111100112 is an abundant number, since it is smaller than the sum of its proper divisors (3381248001648).

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

2122111100112 is a wasteful number, since it uses less digits than its factorization.

2122111100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25940 (or 25934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2122111100112 its reverse (2110011112212), we get a palindrome (4232122212324).

The spelling of 2122111100112 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 269 538 807 1076 1614 2152 3228 4304 6456 12323 12912 13337 24646 26674 36969 40011 49292 53348 73938 80022 98584 106696 147876 160044 197168 213392 295752 320088 591504 640176 3314887 3587653 6629774 7175306 9944661 10762959 13259548 14350612 19889322 21525918 26519096 28701224 39778644 43051836 53038192 57402448 79557288 86103672 159114576 164351851 172207344 328703702 493055553 657407404 986111106 1314814808 1972222212 2629629616 3944444424 7888888848 44210647919 88421295838 132631943757 176842591676 265263887514 353685183352 530527775028 707370366704 1061055550056 2122111100112