Search a number
-
+
2122020010112 = 27139334335677
BaseRepresentation
bin11110111000010010001…
…111111011100010000000
321111212022020000121101212
4132320102033323202000
5234231344110310422
64302501553145252
7306211430322542
oct36702217734200
97455266017355
102122020010112
11748a41a7a452
122a331825b228
1312514b0b09a2
14749c61bd692
153a2ea4999e2
hex1ee123fb880

2122020010112 has 64 divisors (see below), whose sum is σ = 4259268182400. Its totient is φ = 1053032223744.

The previous prime is 2122020010093. The next prime is 2122020010127. The reversal of 2122020010112 is 2110100202212.

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

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, 59460818 + ... + 59496494.

It is an arithmetic number, because the mean of its divisors is an integer number (66551065350).

Almost surely, 22122020010112 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 2122020010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129634091200).

2122020010112 is an abundant number, since it is smaller than the sum of its proper divisors (2137248172288).

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

2122020010112 is a wasteful number, since it uses less digits than its factorization.

2122020010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39173 (or 39161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122020010112 its reverse (2110100202212), we get a palindrome (4232120212324).

The spelling of 2122020010112 in words is "two trillion, one hundred twenty-two billion, twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 3343 4448 6686 8896 13372 17792 26744 35677 53488 71354 106976 142708 213952 285416 427904 464677 570832 929354 1141664 1858708 2283328 3717416 4566656 4959103 7434832 9918206 14869664 19836412 29739328 39672824 59478656 79345648 119268211 158691296 238536422 317382592 477072844 634765184 954145688 1908291376 3816582752 7633165504 15266331008 16578281329 33156562658 66313125316 132626250632 265252501264 530505002528 1061010005056 2122020010112