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10221100222212 = 22321138966351823
BaseRepresentation
bin1001010010111100100100…
…0011000100011100000100
31100012010110001022021201100
42110233021003010130010
52314430303124102322
633423301510100100
72103310251255165
oct224571103043404
940163401267640
1010221100222212
1132908206804a0
121190b0194a630
13591acba80189
142749bd69176c
1512ad1aa0edac
hex94bc90c4704

10221100222212 has 72 divisors (see below), whose sum is σ = 28257914805120. Its totient is φ = 3089340832320.

The previous prime is 10221100222199. The next prime is 10221100222213. The reversal of 10221100222212 is 21222200112201.

It is a happy number.

10221100222212 is a `hidden beast` number, since 1 + 0 + 221 + 10 + 0 + 222 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10221100222213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33021868 + ... + 33329955.

It is an arithmetic number, because the mean of its divisors is an integer number (392471038960).

Almost surely, 210221100222212 is an apocalyptic number.

10221100222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221100222212 is an abundant number, since it is smaller than the sum of its proper divisors (18036814582908).

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

10221100222212 is a wasteful number, since it uses less digits than its factorization.

10221100222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66352233 (or 66352228 counting only the distinct ones).

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

Adding to 10221100222212 its reverse (21222200112201), we get a palindrome (31443300334413).

The spelling of 10221100222212 in words is "ten trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 389 396 778 1167 1556 2334 3501 4279 4668 7002 8558 12837 14004 17116 25674 38511 51348 77022 154044 66351823 132703646 199055469 265407292 398110938 597166407 729870053 796221876 1194332814 1459740106 2189610159 2388665628 2919480212 4379220318 6568830477 8758440636 13137660954 25810859147 26275321908 51621718294 77432577441 103243436588 154865154882 232297732323 283919450617 309730309764 464595464646 567838901234 851758351851 929190929292 1135677802468 1703516703702 2555275055553 3407033407404 5110550111106 10221100222212