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221010200020 = 225293171202057
BaseRepresentation
bin1100110111010100111…
…1000000010111010100
3210010110120200102122201
43031311033000113110
512110112102400040
6245310343334244
721652560463321
oct3156517002724
9703416612581
10221010200020
1185803550475
12369bba51384
1317ac20958ac
14a9a860bb48
155b37c38a9a
hex33753c05d4

221010200020 has 48 divisors (see below), whose sum is σ = 481640599440. Its totient is φ = 85086331904.

The previous prime is 221010200009. The next prime is 221010200063. The reversal of 221010200020 is 20002010122.

221010200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 258695056 + 220751504964 = 16084^2 + 469842^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 417169 + ... + 784888.

It is an arithmetic number, because the mean of its divisors is an integer number (10034179155).

Almost surely, 2221010200020 is an apocalyptic number.

221010200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010200020 is an abundant number, since it is smaller than the sum of its proper divisors (260630399420).

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

221010200020 is a wasteful number, since it uses less digits than its factorization.

221010200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202412 (or 1202410 counting only the distinct ones).

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

Adding to 221010200020 its reverse (20002010122), we get a palindrome (241012210142).

The spelling of 221010200020 in words is "two hundred twenty-one billion, ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 317 580 634 1268 1585 3170 6340 9193 18386 36772 45965 91930 183860 1202057 2404114 4808228 6010285 12020570 24041140 34859653 69719306 139438612 174298265 348596530 381052069 697193060 762104138 1524208276 1905260345 3810520690 7621041380 11050510001 22101020002 44202040004 55252550005 110505100010 221010200020