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222210000112122 = 2321137146532069999
BaseRepresentation
bin110010100001100101001100…
…000111110100100111111010
31002010210001211222012102121200
4302201211030013310213322
5213111142040012041442
62104333510443515030
764543066644341361
oct6241451407644772
91063701758172550
10222210000112122
1164891806073640
1220b09953528a76
1396cb40bb52649
143cc30429a47d8
151aa52d325834c
hexca194c1f49fa

222210000112122 has 96 divisors (see below), whose sum is σ = 539455943520000. Its totient is φ = 65511959103360.

The previous prime is 222210000112081. The next prime is 222210000112129. The reversal of 222210000112122 is 221211000012222.

It is a happy number.

222210000112122 is a `hidden beast` number, since 222 + 210 + 0 + 0 + 0 + 112 + 122 = 666.

222210000112122 is digitally balanced in base 2 and base 4, because in such bases 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 = 222210000112095 and 222210000112104.

It is not an unprimeable number, because it can be changed into a prime (222210000112129) 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, 106312879 + ... + 108382877.

It is an arithmetic number, because the mean of its divisors is an integer number (5619332745000).

Almost surely, 2222210000112122 is an apocalyptic number.

222210000112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222210000112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269727971760000).

222210000112122 is an abundant number, since it is smaller than the sum of its proper divisors (317245943407878).

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

222210000112122 is a wasteful number, since it uses less digits than its factorization.

222210000112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084708 (or 2084705 counting only the distinct ones).

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

Adding to 222210000112122 its reverse (221211000012222), we get a palindrome (443421000124344).

The spelling of 222210000112122 in words is "two hundred twenty-two trillion, two hundred ten billion, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 14653 29306 43959 87918 131877 161183 263754 322366 483549 542161 967098 1084322 1450647 1626483 2069999 2901294 3252966 4139998 4879449 5963771 6209997 9758898 11927542 12419994 17891313 18629991 22769989 35782626 37259982 45539978 53673939 68309967 76589963 107347878 136619934 153179926 204929901 229769889 409859802 459539778 689309667 842489593 1378619334 1684979186 2527468779 5054937558 7582406337 15164812674 30331695347 60663390694 90995086041 181990172082 272985258123 333648648817 545970516246 667297297634 1000945946451 1122272727839 2001891892902 2244545455678 3002837839353 3366818183517 6005675678706 6733636367034 10100454550551 12345000006229 20200909101102 24690000012458 37035000018687 74070000037374 111105000056061 222210000112122