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212003402101113 = 37172412380135797
BaseRepresentation
bin110000001101000011100011…
…011110010011000101111001
31000210122022211121100210201210
4300031003203132103011321
5210241430431414213423
62030521003550233333
762440511636605260
oct6015034336230571
91023568747323653
10212003402101113
1161607157629067
121b93b81a4b5849
13913aab175ba3c
143a4d03b3995d7
151979a659ceb93
hexc0d0e3793179

212003402101113 has 96 divisors (see below), whose sum is σ = 351568421261568. Its totient is φ = 111229913088000.

The previous prime is 212003402101097. The next prime is 212003402101243. The reversal of 212003402101113 is 311101204300212.

It is not a de Polignac number, because 212003402101113 - 24 = 212003402101097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212003402101113.

It is not an unprimeable number, because it can be changed into a prime (212003402111113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5922361131 + ... + 5922396927.

It is an arithmetic number, because the mean of its divisors is an integer number (3662171054808).

Almost surely, 2212003402101113 is an apocalyptic number.

It is an amenable number.

212003402101113 is a deficient number, since it is larger than the sum of its proper divisors (139565019160455).

212003402101113 is a wasteful number, since it uses less digits than its factorization.

212003402101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59683 (or 59666 counting only the distinct ones).

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

Adding to 212003402101113 its reverse (311101204300212), we get a palindrome (523104606401325).

The spelling of 212003402101113 in words is "two hundred twelve trillion, three billion, four hundred two million, one hundred one thousand, one hundred thirteen".

Divisors: 1 3 7 17 21 41 51 119 123 287 289 357 697 861 867 2023 2091 4879 6069 11849 14637 23801 35547 35797 71403 82943 107391 166607 248829 250579 404617 499821 608549 751737 975841 1213851 1467677 1825647 2832319 2927523 4259843 4403031 6830887 6878489 8496957 10273739 10345333 12779529 16589297 20492661 20635467 24950509 30821217 31035999 48149423 49767891 72417331 74851527 116125079 144448269 174653563 217251993 282018049 348375237 424158653 523960689 846054147 852004397 1272475959 1974126343 2556013191 2969110571 5922379029 5964030779 8907331713 14484074749 17892092337 34932180277 43452224247 101388523243 104796540831 244525261939 246229270733 304165569729 593847064709 733575785817 738687812199 1723604895131 1781541194127 4156929452963 5170814685393 10095400100053 12470788358889 30286200300159 70667800700371 212003402101113