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210221200020 = 2235131012668459
BaseRepresentation
bin1100001111001000101…
…0001111001010010100
3202002121200021110000010
43003302022033022110
511421013111400040
6240324013520220
721121322500656
oct3036212171224
9662550243003
10210221200020
1181177429047
12348aa7a3070
1316a92aa7320
14a2637846d6
155705977e80
hex30f228f294

210221200020 has 96 divisors (see below), whose sum is σ = 640174227840. Its totient is φ = 51234393600.

The previous prime is 210221200003. The next prime is 210221200039. The reversal of 210221200020 is 20002122012.

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

It is a junction number, because it is equal to n+sod(n) for n = 210221199969 and 210221200005.

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 31 ways as a sum of consecutive naturals, for example, 1255450 + ... + 1413009.

It is an arithmetic number, because the mean of its divisors is an integer number (6668481540).

Almost surely, 2210221200020 is an apocalyptic number.

210221200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221200020 is an abundant number, since it is smaller than the sum of its proper divisors (429953027820).

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

210221200020 is a wasteful number, since it uses less digits than its factorization.

210221200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668585 (or 2668583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210221200020 its reverse (20002122012), we get a palindrome (230223322032).

The spelling of 210221200020 in words is "two hundred ten billion, two hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1515 2020 2626 3030 3939 5252 6060 6565 7878 13130 15756 19695 26260 39390 78780 2668459 5336918 8005377 10673836 13342295 16010754 26684590 32021508 34689967 40026885 53369180 69379934 80053770 104069901 138759868 160107540 173449835 208139802 269514359 346899670 416279604 520349505 539028718 693799340 808543077 1040699010 1078057436 1347571795 1617086154 2081398020 2695143590 3234172308 3503686667 4042715385 5390287180 7007373334 8085430770 10511060001 14014746668 16170861540 17518433335 21022120002 35036866670 42044240004 52555300005 70073733340 105110600010 210221200020