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200222120112102 = 23311975153674363
BaseRepresentation
bin101101100001100111011000…
…010110000110111111100110
3222020221001021210210212101000
4231201213120112012333212
5202220414400222041402
61545500434442214130
760113366534156334
oct5541473026067746
9866831253725330
10200222120112102
11588847a7029130
121a55847aab4346
138794b32295c8a
143762b337d0b54
15182338446ac1c
hexb619d8586fe6

200222120112102 has 128 divisors (see below), whose sum is σ = 490486840542720. Its totient is φ = 60036129054720.

The previous prime is 200222120112031. The next prime is 200222120112127. The reversal of 200222120112102 is 201211021222002.

It is a happy number.

200222120112102 is a `hidden beast` number, since 200 + 2 + 221 + 20 + 11 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296568373 + ... + 297242735.

It is an arithmetic number, because the mean of its divisors is an integer number (3831928441740).

Almost surely, 2200222120112102 is an apocalyptic number.

200222120112102 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 200222120112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245243420271360).

200222120112102 is an abundant number, since it is smaller than the sum of its proper divisors (290264720430618).

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

200222120112102 is a wasteful number, since it uses less digits than its factorization.

200222120112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679635 (or 679629 counting only the distinct ones).

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

Adding to 200222120112102 its reverse (201211021222002), we get a palindrome (401433141334104).

The spelling of 200222120112102 in words is "two hundred trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 582 594 873 1067 1746 2134 2619 3201 5153 5238 6402 9603 10306 15459 19206 28809 30918 46377 56683 57618 92754 113366 139131 170049 278262 340098 499841 510147 674363 999682 1020294 1348726 1499523 1530441 2023089 2999046 3060882 4046178 4498569 5498251 6069267 7417993 8997138 10996502 12138534 13495707 14835986 16494753 18207801 22253979 26991414 32989506 36415602 44507958 49484259 65413211 66761937 98968518 130826422 133523874 148452777 196239633 200285811 296905554 392479266 400571622 588718899 719545321 1177437798 1439090642 1766156697 2158635963 3474992539 3532313394 4317271926 6475907889 6949985078 10424977617 12951815778 19427723667 20849955234 31274932851 38224917929 38855447334 62549865702 76449835858 93824798553 114674753787 187649597106 229349507574 337074276283 344024261361 674148552566 688048522722 1011222828849 1032072784083 2022445657698 2064145568166 3033668486547 3707817039113 6067336973094 7415634078226 9101005459641 11123451117339 18202010919282 22246902234678 33370353352017 66740706704034 100111060056051 200222120112102