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1003103220012 = 223831007131747
BaseRepresentation
bin11101001100011011001…
…11000111000100101100
310112220011222200100001120
432212031213013010230
5112413323411020022
62044452543140540
7132320555454465
oct16461547070454
93486158610046
101003103220012
11357460687033
121424a92a4750
13737911803ba
143679c63bd6c
151b15dde8d5c
hexe98d9c712c

1003103220012 has 24 divisors (see below), whose sum is σ = 2368773871296. Its totient is φ = 330339212688.

The previous prime is 1003103220011. The next prime is 1003103220029. The reversal of 1003103220012 is 2100223013001.

1003103220012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1003103219973 and 1003103220000.

It is not an unprimeable number, because it can be changed into a prime (1003103220011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503564878 + ... + 503566869.

It is an arithmetic number, because the mean of its divisors is an integer number (98698911304).

Almost surely, 21003103220012 is an apocalyptic number.

1003103220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003103220012 is an abundant number, since it is smaller than the sum of its proper divisors (1365670651284).

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

1003103220012 is a wasteful number, since it uses less digits than its factorization.

1003103220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007131837 (or 1007131835 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1003103220012 its reverse (2100223013001), we get a palindrome (3103326233013).

The spelling of 1003103220012 in words is "one trillion, three billion, one hundred three million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 1007131747 2014263494 3021395241 4028526988 6042790482 12085580964 83591935001 167183870002 250775805003 334367740004 501551610006 1003103220012