Search a number
-
+
112021122222 = 2321929101111829
BaseRepresentation
bin110100001010011111…
…0101010110010101110
3101201010221111121211200
41220110332222302232
53313404401402342
6123243425230330
711043662554032
oct1502476526256
9351127447750
10112021122222
1143565004159
12198637923a6
13a74315b409
1455c97ba1c2
152da977d94c
hex1a14faacae

112021122222 has 96 divisors (see below), whose sum is σ = 266915844000. Its totient is φ = 33816787200.

The previous prime is 112021122163. The next prime is 112021122223. The reversal of 112021122222 is 222221120211.

It is a happy number.

112021122222 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 112021122195 and 112021122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021122223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945804 + ... + 1057632.

It is an arithmetic number, because the mean of its divisors is an integer number (2780373375).

Almost surely, 2112021122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112021122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133457922000).

112021122222 is an abundant number, since it is smaller than the sum of its proper divisors (154894721778).

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

112021122222 is a wasteful number, since it uses less digits than its factorization.

112021122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111986 (or 111983 counting only the distinct ones).

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

Adding to 112021122222 its reverse (222221120211), we get a palindrome (334242242433).

The spelling of 112021122222 in words is "one hundred twelve billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 101 114 171 174 202 261 303 342 522 551 606 909 1102 1653 1818 1919 2929 3306 3838 4959 5757 5858 8787 9918 11514 17271 17574 26361 34542 52722 55651 111302 111829 166953 223658 333906 335487 500859 670974 1001718 1006461 2012922 2124751 3243041 4249502 6374253 6486082 9729123 11294729 12748506 19122759 19458246 22589458 29187369 33884187 38245518 58374738 61617779 67768374 101652561 123235558 184853337 203305122 214599851 327547141 369706674 429199702 554560011 643799553 655094282 982641423 1109120022 1287599106 1931398659 1965282846 2947924269 3862797318 5895848538 6223395679 12446791358 18670187037 37340374074 56010561111 112021122222