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21002010212200 = 2352244393429677
BaseRepresentation
bin1001100011001111010010…
…10110111011011101101000
32202100202212012110021212111
410301213221112323131220
510223044104103242300
6112400105034252104
74265226251214613
oct461475126733550
982322765407774
1021002010212200
1167679a2275126
1224323b6887034
13b94633b90c44
1452870765b17a
1526649cd2a9ba
hex1319e95bb768

21002010212200 has 48 divisors (see below), whose sum is σ = 48829987186380. Its totient is φ = 8400750159360.

The previous prime is 21002010212171. The next prime is 21002010212201. The reversal of 21002010212200 is 221201020012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2428616793604 + 18573393418596 = 1558402^2 + 4309686^2 .

It is not an unprimeable number, because it can be changed into a prime (21002010212201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48663762 + ... + 49093438.

Almost surely, 221002010212200 is an apocalyptic number.

21002010212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002010212200 is an abundant number, since it is smaller than the sum of its proper divisors (27827976974180).

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

21002010212200 is a wasteful number, since it uses less digits than its factorization.

21002010212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674086 (or 674077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21002010212200 its reverse (221201020012), we get a palindrome (21223211232212).

The spelling of 21002010212200 in words is "twenty-one trillion, two billion, ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 244393 429677 488786 859354 977572 1221965 1718708 1955144 2148385 2443930 3437416 4296770 4887860 6109825 8593540 9775720 10741925 12219650 17187080 21483850 24439300 42967700 48878600 85935400 105010051061 210020102122 420040204244 525050255305 840080408488 1050100510610 2100201021220 2625251276525 4200402042440 5250502553050 10501005106100 21002010212200