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10002222202212 = 2233591879835399
BaseRepresentation
bin1001000110001101001011…
…1001101011110101100100
31022102012111001200211012000
42101203102321223311210
52302334022340432322
633134542450325300
72051431250634042
oct221432271536544
938365431624160
1010002222202212
113206a11748479
1211565b7b89830
13577289661786
14268178309392
151252aa0983ac
hex918d2e6bd64

10002222202212 has 96 divisors (see below), whose sum is σ = 26385273600000. Its totient is φ = 3275816103072.

The previous prime is 10002222202183. The next prime is 10002222202289. The reversal of 10002222202212 is 21220222220001.

10002222202212 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 222 + 220 + 221 + 2 = 666.

10002222202212 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11555289 + ... + 12390687.

It is an arithmetic number, because the mean of its divisors is an integer number (274846600000).

Almost surely, 210002222202212 is an apocalyptic number.

10002222202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002222202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192636800000).

10002222202212 is an abundant number, since it is smaller than the sum of its proper divisors (16383051397788).

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

10002222202212 is a wasteful number, since it uses less digits than its factorization.

10002222202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837350 (or 837342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10002222202212 its reverse (21220222220001), we get a palindrome (31222444422213).

The spelling of 10002222202212 in words is "ten trillion, two billion, two hundred twenty-two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 1879 2124 3186 3758 5637 6372 7516 11274 16911 22548 33822 50733 67644 101466 110861 202932 221722 332583 443444 665166 835399 997749 1330332 1670798 1995498 2506197 2993247 3341596 3990996 5012394 5986494 7518591 10024788 11972988 15037182 22555773 30074364 45111546 49288541 90223092 98577082 147865623 197154164 295731246 443596869 591462492 887193738 1330790607 1569714721 1774387476 2661581214 3139429442 4709144163 5323162428 6278858884 9418288326 14127432489 18836576652 28254864978 42382297467 56509729956 84764594934 92613168539 169529189868 185226337078 277839505617 370452674156 555679011234 833518516851 1111358022468 1667037033702 2500555550553 3334074067404 5001111101106 10002222202212