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210221112210021 = 321116572719471313
BaseRepresentation
bin101111110011000111101010…
…101101111011001001100101
31000120022221102202111101110200
4233303013222231323021211
5210023230314211210041
62023034125024341113
762164655063521623
oct5763075255731145
91016287382441420
10210221112210021
1160a8a300431420
121b6b2315174799
13903b9c5678623
1439caa82b16513
151948500b6b1b6
hexbf31eab7b265

210221112210021 has 48 divisors (see below), whose sum is σ = 331580031843840. Its totient is φ = 127282744949760.

The previous prime is 210221112210001. The next prime is 210221112210041. The reversal of 210221112210021 is 120012211122012.

210221112210021 is a `hidden beast` number, since 210 + 2 + 211 + 1 + 221 + 0 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (210221112210001) and next prime (210221112210041).

It is not a de Polignac number, because 210221112210021 - 25 = 210221112209989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210221112209976 and 210221112210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210221112210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445797261 + ... + 446268573.

It is an arithmetic number, because the mean of its divisors is an integer number (6907917330080).

Almost surely, 2210221112210021 is an apocalyptic number.

It is an amenable number.

210221112210021 is a deficient number, since it is larger than the sum of its proper divisors (121358919633819).

210221112210021 is a wasteful number, since it uses less digits than its factorization.

210221112210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475706 (or 475703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210221112210021 its reverse (120012211122012), we get a palindrome (330233323332033).

The spelling of 210221112210021 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 11 33 99 1657 2719 4971 8157 14913 18227 24471 29909 54681 89727 164043 269181 471313 1413939 4241817 4505383 5184443 13516149 15553329 40548447 46659987 49559213 148677639 446032917 780965641 1281500047 2342896923 3844500141 7028690769 8590622051 11533500423 14096500517 25771866153 42289501551 77315598459 126868504653 2123445577879 6370336733637 19111010200911 23357901356669 70073704070007 210221112210021