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10011221332212 = 223471091303124979
BaseRepresentation
bin1001000110101110101101…
…0010101001000011110100
31022110001201020010222210010
42101223223102221003310
52303010440130112322
633143031441100220
72052200253162462
oct221535322510364
938401636128703
1010011221332212
11320a80a4a4aa1
1211582a9927670
13578091b98a79
1426878d575832
1512563515220c
hex91aeb4a90f4

10011221332212 has 96 divisors (see below), whose sum is σ = 24094064332800. Its totient is φ = 3233598786432.

The previous prime is 10011221332201. The next prime is 10011221332237. The reversal of 10011221332212 is 21223312211001.

It is a super-2 number, since 2×100112213322122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 80040739 + ... + 80165717.

It is an arithmetic number, because the mean of its divisors is an integer number (250979836800).

Almost surely, 210011221332212 is an apocalyptic number.

10011221332212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011221332212 is an abundant number, since it is smaller than the sum of its proper divisors (14082843000588).

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

10011221332212 is a wasteful number, since it uses less digits than its factorization.

10011221332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126445 (or 126443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10011221332212 its reverse (21223312211001), we get a palindrome (31234533543213).

The spelling of 10011221332212 in words is "ten trillion, eleven billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 109 141 188 218 282 327 436 564 654 1303 1308 2606 3909 5123 5212 7818 10246 15369 15636 20492 30738 61241 61476 122482 124979 142027 183723 244964 249958 284054 367446 374937 426081 499916 568108 734892 749874 852162 1499748 1704324 5874013 6675269 11748026 13350538 13622711 17622039 20025807 23496052 26701076 27245422 35244078 40051614 40868133 54490844 70488156 80103228 81736266 162847637 163472532 325695274 488542911 640267417 651390548 977085822 1280534834 1920802251 1954171644 2561069668 3841604502 7653838939 7683209004 15307677878 17750392433 22961516817 30615355756 35500784866 45923033634 53251177299 71001569732 91846067268 106502354598 213004709196 834268444351 1668536888702 2502805333053 3337073777404 5005610666106 10011221332212