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12103303001020 = 225711172413531879
BaseRepresentation
bin1011000000100000010100…
…0100110111001110111100
31120212001201222220021122021
42300020011010313032330
53041300031032013040
641424103003525524
72356302063022420
oct260100504671674
946761658807567
1012103303001020
113946a89014510
12143584b8298a4
1369a44b5c25aa
142dbb3559ab80
1515ec7c10224a
hexb02051373bc

12103303001020 has 576 divisors, whose sum is σ = 34599458396160. Its totient is φ = 3452298854400.

The previous prime is 12103303001017. The next prime is 12103303001047. The reversal of 12103303001020 is 2010030330121.

It is a junction number, because it is equal to n+sod(n) for n = 12103303000985 and 12103303001003.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6441352441 + ... + 6441354319.

It is an arithmetic number, because the mean of its divisors is an integer number (60068504160).

Almost surely, 212103303001020 is an apocalyptic number.

12103303001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103303001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299729198080).

12103303001020 is an abundant number, since it is smaller than the sum of its proper divisors (22496155395140).

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

12103303001020 is a wasteful number, since it uses less digits than its factorization.

12103303001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12103303001020 its reverse (2010030330121), we get a palindrome (14113333331141).

The spelling of 12103303001020 in words is "twelve trillion, one hundred three billion, three hundred three million, one thousand, twenty".