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10020110020 = 22511324118397
BaseRepresentation
bin10010101010011111…
…01011111011000100
3221212022121022212221
421111033223323010
5131010122010040
64334141422124
7503210346514
oct112517537304
927768538787
1010020110020
1142820aaa68
121b3786a944
13c38c0b9ab
146b0ab9844
153d9a3174a
hex2553ebec4

10020110020 has 48 divisors (see below), whose sum is σ = 21317689008. Its totient is φ = 3955875840.

The previous prime is 10020109999. The next prime is 10020110069. The reversal of 10020110020 is 2001102001.

It can be written as a sum of positive squares in 8 ways, for example, as 7706176 + 10012403844 = 2776^2 + 100062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10020109985 and 10020110012.

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, 535462 + ... + 553858.

It is an arithmetic number, because the mean of its divisors is an integer number (444118521).

Almost surely, 210020110020 is an apocalyptic number.

10020110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020110020 is an abundant number, since it is smaller than the sum of its proper divisors (11297578988).

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

10020110020 is a wasteful number, since it uses less digits than its factorization.

10020110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18760 (or 18758 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020110020 its reverse (2001102001), we get a palindrome (12021212021).

The spelling of 10020110020 in words is "ten billion, twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 241 452 482 565 964 1130 1205 2260 2410 4820 18397 27233 36794 54466 73588 91985 108932 136165 183970 272330 367940 544660 2078861 4157722 4433677 8315444 8867354 10394305 17734708 20788610 22168385 41577220 44336770 88673540 501005501 1002011002 2004022004 2505027505 5010055010 10020110020