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21200021020 = 22517192832081
BaseRepresentation
bin10011101111100111…
…101010011000011100
32000201110120122121201
4103233213222120130
5321404201133040
613423354005244
71350233130313
oct235747523034
960643518551
1021200021020
118a9994a632
124137a16824
131ccb1a8849
14105181d27a
158412aca9a
hex4ef9ea61c

21200021020 has 144 divisors (see below), whose sum is σ = 50374039968. Its totient is φ = 7466434560.

The previous prime is 21200021009. The next prime is 21200021027. The reversal of 21200021020 is 2012000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21200020988 and 21200021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200021027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10186380 + ... + 10188460.

It is an arithmetic number, because the mean of its divisors is an integer number (349819722).

Almost surely, 221200021020 is an apocalyptic number.

21200021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25187019984).

21200021020 is an abundant number, since it is smaller than the sum of its proper divisors (29174018948).

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

21200021020 is a wasteful number, since it uses less digits than its factorization.

21200021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21200021020 its reverse (2012000212), we get a palindrome (23212021232).

The spelling of 21200021020 in words is "twenty-one billion, two hundred million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 83 85 95 166 170 190 323 332 340 361 380 415 646 722 830 1292 1411 1444 1577 1615 1660 1805 2081 2822 3154 3230 3610 4162 5644 6137 6308 6460 7055 7220 7885 8324 10405 12274 14110 15770 20810 24548 26809 28220 29963 30685 31540 35377 39539 41620 53618 59926 61370 70754 79078 107236 119852 122740 134045 141508 149815 158156 172723 176885 197695 268090 299630 345446 353770 395390 509371 536180 599260 672163 690892 707540 751241 790780 863615 1018742 1344326 1502482 1727230 2037484 2546855 2688652 2936291 3004964 3281737 3360815 3454460 3756205 5093710 5872582 6563474 6721630 7512410 10187420 11745164 12771097 13126948 13443260 14681455 15024820 16408685 25542194 29362910 32817370 51084388 55789529 58725820 62353003 63855485 65634740 111579058 124706006 127710970 223158116 249412012 255421940 278947645 311765015 557895290 623530030 1060001051 1115790580 1247060060 2120002102 4240004204 5300005255 10600010510 21200021020