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13202103012 = 2237793116397
BaseRepresentation
bin11000100101110100…
…00001101011100100
31021002002002022200020
430102322001223210
5204014214244022
610022010515140
7645106011150
oct142272015344
937062068606
1013202103012
11566527443a
122685435ab0
131325214297
148d3538060
1552407435c
hex312e81ae4

13202103012 has 96 divisors (see below), whose sum is σ = 35771473920. Its totient is φ = 3711726720.

The previous prime is 13202103007. The next prime is 13202103043. The reversal of 13202103012 is 21030120231.

It is a junction number, because it is equal to n+sod(n) for n = 13202102982 and 13202103000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060598 + ... + 2066994.

It is an arithmetic number, because the mean of its divisors is an integer number (372619520).

Almost surely, 213202103012 is an apocalyptic number.

13202103012 is a gapful number since it is divisible by the number (12) 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 13202103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17885736960).

13202103012 is an abundant number, since it is smaller than the sum of its proper divisors (22569370908).

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

13202103012 is a wasteful number, since it uses less digits than its factorization.

13202103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6799 counting only the distinct ones).

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

Adding to 13202103012 its reverse (21030120231), we get a palindrome (34232223243).

The spelling of 13202103012 in words is "thirteen billion, two hundred two million, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 311 316 474 553 622 933 948 1106 1244 1659 1866 2177 2212 3318 3732 4354 6397 6531 6636 8708 12794 13062 19191 24569 25588 26124 38382 44779 49138 73707 76764 89558 98276 134337 147414 171983 179116 268674 294828 343966 505363 515949 537348 687932 1010726 1031898 1516089 1989467 2021452 2063796 3032178 3537541 3978934 5968401 6064356 7075082 7957868 10612623 11936802 13926269 14150164 21225246 23873604 27852538 41778807 42450492 55705076 83557614 157167893 167115228 314335786 471503679 628671572 943007358 1100175251 1886014716 2200350502 3300525753 4400701004 6601051506 13202103012