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10242001300 = 2252197097603
BaseRepresentation
bin10011000100111100…
…01000100110010100
3222102210010120111111
421202132020212110
5131433423020200
64412145344404
7511543401046
oct114236104624
928383116444
1010242001300
114386385193
121b9a038104
13c72b8c1cb
146d2359a96
153ee2620ba
hex262788994

10242001300 has 72 divisors (see below), whose sum is σ = 23430965600. Its totient is φ = 3875195520.

The previous prime is 10242001291. The next prime is 10242001303. The reversal of 10242001300 is 310024201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343299 + ... + 1350901.

Almost surely, 210242001300 is an apocalyptic number.

10242001300 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 10242001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11715482800).

10242001300 is an abundant number, since it is smaller than the sum of its proper divisors (13188964300).

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

10242001300 is a wasteful number, since it uses less digits than its factorization.

10242001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10242001300 its reverse (310024201), we get a palindrome (10552025501).

The spelling of 10242001300 in words is "ten billion, two hundred forty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 709 950 1418 1900 2836 3545 7090 7603 13471 14180 15206 17725 26942 30412 35450 38015 53884 67355 70900 76030 134710 144457 152060 190075 269420 288914 336775 380150 577828 673550 722285 760300 1347100 1444570 2889140 3611425 5390527 7222850 10781054 14445700 21562108 26952635 53905270 102420013 107810540 134763175 204840026 269526350 409680052 512100065 539052700 1024200130 2048400260 2560500325 5121000650 10242001300