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10011202212222 = 232139241130712703
BaseRepresentation
bin1001000110101110101000…
…1001101101000101111110
31022110001122220011121002100
42101223222021231011332
52303010420231242342
633143025515205530
72052166631520201
oct221535211550576
938401586147070
1010011202212222
11320a7aa725952
1211582a34468a6
1357808ac33073
1426878abd9938
15125633626e4c
hex91aea26d17e

10011202212222 has 96 divisors (see below), whose sum is σ = 21956152458240. Its totient is φ = 3296528720640.

The previous prime is 10011202212217. The next prime is 10011202212293. The reversal of 10011202212222 is 22221220211001.

It is a happy number.

10011202212222 is a `hidden beast` number, since 100 + 1 + 120 + 221 + 2 + 222 = 666.

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 = 10011202212195 and 10011202212204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788091123 + ... + 788103825.

It is an arithmetic number, because the mean of its divisors is an integer number (228709921440).

Almost surely, 210011202212222 is an apocalyptic number.

10011202212222 is an abundant number, since it is smaller than the sum of its proper divisors (11944950246018).

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

10011202212222 is a wasteful number, since it uses less digits than its factorization.

10011202212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 14395 counting only the distinct ones).

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

Adding to 10011202212222 its reverse (22221220211001), we get a palindrome (32232422423223).

The spelling of 10011202212222 in words is "ten trillion, eleven billion, two hundred two million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 139 241 278 417 482 723 834 1251 1307 1446 2169 2502 2614 3921 4338 7842 11763 12703 23526 25406 33499 38109 66998 76218 100497 114327 181673 200994 228654 301491 314987 363346 545019 602982 629974 944961 1090038 1635057 1765717 1889922 2834883 3061423 3270114 3531434 5297151 5669766 6122846 9184269 10594302 15891453 16602821 18368538 27552807 31782906 33205642 43783193 49808463 55105614 87566386 99616926 131349579 149425389 262699158 298850778 394048737 425537797 788097474 851075594 1276613391 2307792119 2553226782 3829840173 4001279861 4615584238 6923376357 7659680346 8002559722 12003839583 13846752714 20770129071 24007679166 36011518749 41540258142 72023037498 556177900679 1112355801358 1668533702037 3337067404074 5005601106111 10011202212222