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21100320212000 = 255319327332021
BaseRepresentation
bin1001100110000110011010…
…00101110100010000100000
32202201011121121001201200012
410303003031011310100200
510231201423433241000
6112513204150544052
74305306414350051
oct463031505642040
982634547051605
1021100320212000
1167a5660748047
122449472668028
13ba09a0515863
1452d39207a728
15268d039d9735
hex1330cd174420

21100320212000 has 96 divisors (see below), whose sum is σ = 52112107769904. Its totient is φ = 8396396544000.

The previous prime is 21100320211991. The next prime is 21100320212009. The reversal of 21100320212000 is 21202300112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21100320211991) and next prime (21100320212009).

It can be written as a sum of positive squares in 8 ways, for example, as 392833111696 + 20707487100304 = 626764^2 + 4550548^2 .

It is not an unprimeable number, because it can be changed into a prime (21100320212009) 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 15 ways as a sum of consecutive naturals, for example, 12894011 + ... + 14438010.

Almost surely, 221100320212000 is an apocalyptic number.

21100320212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100320212000 is an abundant number, since it is smaller than the sum of its proper divisors (31011787557904).

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

21100320212000 is a wasteful number, since it uses less digits than its factorization.

21100320212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27332239 (or 27332221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21100320212000 its reverse (21202300112), we get a palindrome (21121522512112).

The spelling of 21100320212000 in words is "twenty-one trillion, one hundred billion, three hundred twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 772 800 965 1000 1544 1930 2000 3088 3860 4000 4825 6176 7720 9650 15440 19300 24125 30880 38600 48250 77200 96500 154400 193000 386000 772000 27332021 54664042 109328084 136660105 218656168 273320210 437312336 546640420 683300525 874624672 1093280840 1366601050 2186561680 2733202100 3416502625 4373123360 5275080053 5466404200 6833005250 10550160106 10932808400 13666010500 21100320212 21865616800 26375400265 27332021000 42200640424 52750800530 54664042000 84401280848 105501601060 109328084000 131877001325 168802561696 211003202120 263754002650 422006404240 527508005300 659385006625 844012808480 1055016010600 1318770013250 2110032021200 2637540026500 4220064042400 5275080053000 10550160106000 21100320212000