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1003112020 = 225473310597
BaseRepresentation
bin111011110010100…
…100011001010100
32120220112101000001
4323302210121110
54023244041040
6243312101044
733600211561
oct7362443124
92526471001
101003112020
114752599a9
1223bb34784
1312ca89811
149731b868
155d0e859a
hex3bca4654

1003112020 has 24 divisors (see below), whose sum is σ = 2107179144. Its totient is φ = 401122176.

The previous prime is 1003112009. The next prime is 1003112063. The reversal of 1003112020 is 202113001.

1003112020 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 4 ways, for example, as 24423364 + 978688656 = 4942^2 + 31284^2 .

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 = 1003111988 and 1003112006.

It is a congruent number.

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, 89362 + ... + 99958.

It is an arithmetic number, because the mean of its divisors is an integer number (87799131).

Almost surely, 21003112020 is an apocalyptic number.

1003112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003112020 is an abundant number, since it is smaller than the sum of its proper divisors (1104067124).

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

1003112020 is a wasteful number, since it uses less digits than its factorization.

1003112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15339 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1003112020 is about 31671.9437357419. The cubic root of 1003112020 is about 1001.0362657823.

Adding to 1003112020 its reverse (202113001), we get a palindrome (1205225021).

The spelling of 1003112020 in words is "one billion, three million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 4733 9466 10597 18932 21194 23665 42388 47330 52985 94660 105970 211940 50155601 100311202 200622404 250778005 501556010 1003112020