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20002010001220 = 2251376930807697
BaseRepresentation
bin1001000110001000101001…
…01100110110111101000100
32121211011200110122010222101
410203010110230312331010
510110203104030014340
6110312444015241444
74133045311526512
oct443042454667504
977734613563871
1020002010001220
116411894215775
1222b0634819284
13b21248850380
144d216119b4b2
1524a471571c9a
hex123114b36f44

20002010001220 has 24 divisors (see below), whose sum is σ = 45235314926424. Its totient is φ = 7385357538816.

The previous prime is 20002010001203. The next prime is 20002010001241. The reversal of 20002010001220 is 2210001020002.

It can be written as a sum of positive squares in 4 ways, for example, as 4232104755264 + 15769905245956 = 2057208^2 + 3971134^2 .

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 = 20002010001197 and 20002010001206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38465403589 + ... + 38465404108.

It is an arithmetic number, because the mean of its divisors is an integer number (1884804788601).

Almost surely, 220002010001220 is an apocalyptic number.

20002010001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002010001220 is an abundant number, since it is smaller than the sum of its proper divisors (25233304925204).

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

20002010001220 is a wasteful number, since it uses less digits than its factorization.

20002010001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76930807719 (or 76930807717 counting only the distinct ones).

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

Adding to 20002010001220 its reverse (2210001020002), we get a palindrome (22212011021222).

The spelling of 20002010001220 in words is "twenty trillion, two billion, ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 76930807697 153861615394 307723230788 384654038485 769308076970 1000100500061 1538616153940 2000201000122 4000402000244 5000502500305 10001005000610 20002010001220