Search a number
-
+
202201220012112 = 24321569418947153
BaseRepresentation
bin101101111110011010100011…
…111001000101100001010000
3222111221020200200102122000200
4231332122203321011201100
5203000331044310341422
61554013542541415200
760406361504564316
oct5576324371054120
9874836620378020
10202201220012112
115947806835a502
121a817b4b56a500
1388a9654822679
1437d083c6140b6
151859ab76812ac
hexb7e6a3e45850

202201220012112 has 60 divisors (see below), whose sum is σ = 565886249956404. Its totient is φ = 67399969674240.

The previous prime is 202201220012069. The next prime is 202201220012117. The reversal of 202201220012112 is 211210022102202.

It is a happy number.

202201220012112 is a `hidden beast` number, since 20 + 220 + 12 + 200 + 1 + 211 + 2 = 666.

202201220012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35996112104976 + 166205107907136 = 5999676^2 + 12892056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201220012117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18125928 + ... + 27073080.

Almost surely, 2202201220012112 is an apocalyptic number.

It is an amenable number.

202201220012112 is an abundant number, since it is smaller than the sum of its proper divisors (363685029944292).

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

202201220012112 is a wasteful number, since it uses less digits than its factorization.

202201220012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9104108 (or 9104099 counting only the distinct ones).

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

Adding to 202201220012112 its reverse (211210022102202), we get a palindrome (413411242114314).

The spelling of 202201220012112 in words is "two hundred two trillion, two hundred one billion, two hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 156941 313882 470823 627764 941646 1255528 1412469 1883292 2511056 2824938 3766584 5649876 7533168 8947153 11299752 17894306 22599504 26841459 35788612 53682918 71577224 80524377 107365836 143154448 161048754 214731672 322097508 429463344 644195016 1288390032 1404175138973 2808350277946 4212525416919 5616700555892 8425050833838 11233401111784 12637576250757 16850101667676 22466802223568 25275152501514 33700203335352 50550305003028 67400406670704 101100610006056 202201220012112