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21012021012 = 223171011039901
BaseRepresentation
bin10011100100011010…
…011111111100010100
32000020100211021002110
4103210122133330110
5321013034133022
613353000311020
71342461142323
oct234432377424
960210737073
1021012021012
118a02813424
1240a4a72470
131c9b263538
1410348820ba
1582ea2400c
hex4e469ff14

21012021012 has 96 divisors (see below), whose sum is σ = 52940369664. Its totient is φ = 6462720000.

The previous prime is 21012021001. The next prime is 21012021049.

21012021012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2117262 + ... + 2127162.

It is an arithmetic number, because the mean of its divisors is an integer number (551462184).

Almost surely, 221012021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26470184832).

21012021012 is an abundant number, since it is smaller than the sum of its proper divisors (31928348652).

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

21012021012 is a wasteful number, since it uses less digits than its factorization.

21012021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 210120 and 21012, that added together give a palindrome (231132).

The spelling of 21012021012 in words is "twenty-one billion, twelve million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 103 202 204 206 303 309 404 412 606 618 1212 1236 1717 1751 3434 3502 5151 5253 6868 7004 9901 10302 10403 10506 19802 20604 20806 21012 29703 31209 39604 41612 59406 62418 118812 124836 168317 176851 336634 353702 504951 530553 673268 707404 1000001 1009902 1019803 1061106 2000002 2019804 2039606 2122212 3000003 3059409 4000004 4079212 6000006 6118818 12000012 12237636 17000017 17336651 34000034 34673302 51000051 52009953 68000068 69346604 102000102 103000103 104019906 204000204 206000206 208039812 309000309 412000412 618000618 1236001236 1751001751 3502003502 5253005253 7004007004 10506010506 21012021012