Search a number
-
+
21000001102020 = 22325333154316449
BaseRepresentation
bin1001100011001011100011…
…00110110010000011000100
32202100120200011221220211100
410301211301212302003010
510223031000240231040
6112355133424140100
74265125414110543
oct461456146620304
982316604856740
1021000001102020
116767061175996
122431b35a67630
13b943a3877055
145285968b015a
152663d1768b30
hex1319719b20c4

21000001102020 has 144 divisors (see below), whose sum is σ = 63740741500800. Its totient is φ = 5596420377600.

The previous prime is 21000001102001. The next prime is 21000001102027. The reversal of 21000001102020 is 2020110000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21000001101993 and 21000001102011.

It is not an unprimeable number, because it can be changed into a prime (21000001102027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3256315756 + ... + 3256322204.

It is an arithmetic number, because the mean of its divisors is an integer number (442644038200).

Almost surely, 221000001102020 is an apocalyptic number.

21000001102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000001102020 is an abundant number, since it is smaller than the sum of its proper divisors (42740740398780).

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

21000001102020 is a wasteful number, since it uses less digits than its factorization.

21000001102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000001102020 its reverse (2020110000012), we get a palindrome (23020111102032).

The spelling of 21000001102020 in words is "twenty-one trillion, one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3331 5431 6449 6662 9993 10862 12898 13324 16293 16655 19347 19986 21724 25796 27155 29979 32245 32586 33310 38694 39972 48879 49965 54310 58041 59958 64490 65172 66620 77388 81465 96735 97758 99930 108620 116082 119916 128980 149895 162930 193470 195516 199860 232164 244395 290205 299790 325860 386940 488790 580410 599580 977580 1160820 18090661 21481619 35024519 36181322 42963238 54271983 64444857 70049038 72362644 85926476 90453305 105073557 107408095 108543966 128889714 140098076 162815949 175122595 180906610 193334571 210147114 214816190 217087932 257779428 271359915 315220671 322224285 325631898 350245190 361813220 386669142 420294228 429632380 525367785 542719830 630441342 644448570 651263796 700490380 773338284 814079745 966672855 1050735570 1085439660 1260882684 1288897140 1576103355 1628159490 1933345710 2101471140 3152206710 3256318980 3866691420 6304413420 116666672789 233333345578 350000018367 466666691156 583333363945 700000036734 1050000055101 1166666727890 1400000073468 1750000091835 2100000110202 2333333455780 3500000183670 4200000220404 5250000275505 7000000367340 10500000551010 21000001102020