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10003313212220 = 225856358410097
BaseRepresentation
bin1001000110010001001111…
…1011100011101100111100
31022102022022002121212120002
42101210103323203230330
52302343241140242340
633135243022413432
72051500266235166
oct221442373435474
938368262555502
1010003313212220
113207421582439
121156861431278
135774016b5523
1426823d187936
15125320c55715
hex91913ee3b3c

10003313212220 has 24 divisors (see below), whose sum is σ = 21009411329424. Its totient is φ = 4000857935616.

The previous prime is 10003313212219. The next prime is 10003313212259. The reversal of 10003313212220 is 2221231330001.

It is a super-3 number, since 3×100033132122203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10003313212192 and 10003313212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29033789 + ... + 29376308.

It is an arithmetic number, because the mean of its divisors is an integer number (875392138726).

Almost surely, 210003313212220 is an apocalyptic number.

10003313212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003313212220 is an abundant number, since it is smaller than the sum of its proper divisors (11006098117204).

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

10003313212220 is a wasteful number, since it uses less digits than its factorization.

10003313212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58418669 (or 58418667 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10003313212220 its reverse (2221231330001), we get a palindrome (12224544542221).

The spelling of 10003313212220 in words is "ten trillion, three billion, three hundred thirteen million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 8563 17126 34252 42815 85630 171260 58410097 116820194 233640388 292050485 584100970 1168201940 500165660611 1000331321222 2000662642444 2500828303055 5001656606110 10003313212220