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21212100099 = 3819263647
BaseRepresentation
bin10011110000010101…
…101111011000000011
32000202022022100000000
4103300111233120003
5321420244200344
613424504531043
71350440606301
oct236025573003
960668270000
1021212100099
118aa574a843
12413ba80a83
132000847828
141053285271
15842396a69
hex4f056f603

21212100099 has 72 divisors (see below), whose sum is σ = 33670391040. Its totient is φ = 13325548464.

The previous prime is 21212100097. The next prime is 21212100121. The reversal of 21212100099 is 99000121212.

It is not a de Polignac number, because 21212100099 - 21 = 21212100097 is a prime.

It is a super-3 number, since 3×212121000993 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21212100097) 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 71 ways as a sum of consecutive naturals, for example, 32784994 + ... + 32785640.

It is an arithmetic number, because the mean of its divisors is an integer number (467644320).

Almost surely, 221212100099 is an apocalyptic number.

21212100099 is a deficient number, since it is larger than the sum of its proper divisors (12458290941).

21212100099 is an frugal number, since it uses more digits than its factorization.

21212100099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 21212100099 in words is "twenty-one billion, two hundred twelve million, one hundred thousand, ninety-nine".

Divisors: 1 3 9 19 27 57 81 171 243 263 513 647 729 789 1539 1941 2187 2367 4617 4997 5823 6561 7101 12293 13851 14991 17469 21303 36879 41553 44973 52407 63909 110637 124659 134919 157221 170161 191727 331911 404757 471663 510483 575181 995733 1214271 1414989 1531449 1725543 2987199 3233059 3642813 4244967 4594347 8961597 9699177 10928439 13783041 26884791 29097531 32785317 41349123 80654373 87292593 124047369 261877779 372142107 785633337 1116426321 2356900011 7070700033 21212100099