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103032003220 = 2256178349433
BaseRepresentation
bin101111111110100101…
…1111001101010010100
3100211221110220001202021
41133331023321222110
53142002143100340
6115155433222524
710305141402016
oct1377513715224
9324843801667
10103032003220
113a771974a93
1217b75261a44
13993ca1a9a3
144db59d81b6
152a30500e4a
hex17fd2f9a94

103032003220 has 24 divisors (see below), whose sum is σ = 216717908904. Its totient is φ = 41146000896.

The previous prime is 103032003169. The next prime is 103032003223. The reversal of 103032003220 is 22300230301.

103032003220 is digitally balanced in base 3, 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 15397776 + 103016605444 = 3924^2 + 320962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103032003194 and 103032003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032003223) by changing a digit.

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, 4162377 + ... + 4187056.

It is an arithmetic number, because the mean of its divisors is an integer number (9029912871).

Almost surely, 2103032003220 is an apocalyptic number.

103032003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103032003220 is an abundant number, since it is smaller than the sum of its proper divisors (113685905684).

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

103032003220 is a wasteful number, since it uses less digits than its factorization.

103032003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350059 (or 8350057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 103032003220 its reverse (22300230301), we get a palindrome (125332233521).

The spelling of 103032003220 in words is "one hundred three billion, thirty-two million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 617 1234 2468 3085 6170 12340 8349433 16698866 33397732 41747165 83494330 166988660 5151600161 10303200322 20606400644 25758000805 51516001610 103032003220