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21001520214 = 23317315771279
BaseRepresentation
bin10011100011110010…
…011100010001010110
32000012122001202201000
4103203302130101112
5321002342121324
613351543244130
71342302655623
oct234362342126
960178052630
1021001520214
1189a78a0a84
1240a1449646
131c99027a4c
14103330b34a
1582db4c9c9
hex4e3c9c456

21001520214 has 128 divisors (see below), whose sum is σ = 51137740800. Its totient is φ = 6360145920.

The previous prime is 21001520209. The next prime is 21001520233. The reversal of 21001520214 is 41202510012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16419627 + ... + 16420905.

It is an arithmetic number, because the mean of its divisors is an integer number (399513600).

Almost surely, 221001520214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001520214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25568870400).

21001520214 is an abundant number, since it is smaller than the sum of its proper divisors (30136220586).

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

21001520214 is a wasteful number, since it uses less digits than its factorization.

21001520214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 21001520214 in words is "twenty-one billion, one million, five hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 577 837 918 1054 1154 1279 1581 1674 1731 2558 3162 3462 3837 4743 5193 7674 9486 9809 10386 11511 14229 15579 17887 19618 21743 23022 28458 29427 31158 34533 35774 39649 43486 53661 58854 65229 69066 79298 88281 107322 118947 130458 160983 176562 195687 237894 264843 304079 321966 356841 391374 482949 529686 587061 608158 674033 713682 737983 912237 965898 1070523 1174122 1348066 1475966 1824474 2022099 2141046 2213949 2736711 4044198 4427898 5473422 6066297 6641847 8210133 12132594 12545711 13283694 16420266 18198891 19925541 22877473 25091422 36397782 37637133 39851082 45754946 68632419 75274266 112911399 137264838 205897257 225822798 338734197 388917041 411794514 617691771 677468394 777834082 1166751123 1235383542 2333502246 3500253369 7000506738 10500760107 21001520214