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10130013130200 = 23352192592832801
BaseRepresentation
bin1001001101101001001111…
…0101011000110111011000
31022212102100000212120200220
42103122103311120313120
52311432231330131300
633313355213400040
72063604111616155
oct223322365306730
938772300776626
1010130013130200
113256129361057
121177320a99020
135863439795b2
1427041c25522c
15128788eebda0
hex93693d58dd8

10130013130200 has 576 divisors, whose sum is σ = 33835737052800. Its totient is φ = 2506000896000.

The previous prime is 10130013130199. The next prime is 10130013130207. The reversal of 10130013130200 is 203131003101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130013130200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130013130207) 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 143 ways as a sum of consecutive naturals, for example, 3616568800 + ... + 3616571600.

It is an arithmetic number, because the mean of its divisors is an integer number (58742599050).

Almost surely, 210130013130200 is an apocalyptic number.

10130013130200 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 10130013130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917868526400).

10130013130200 is an abundant number, since it is smaller than the sum of its proper divisors (23705723922600).

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

10130013130200 is a wasteful number, since it uses less digits than its factorization.

10130013130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10130013130200 its reverse (203131003101), we get a palindrome (10333144133301).

The spelling of 10130013130200 in words is "ten trillion, one hundred thirty billion, thirteen million, one hundred thirty thousand, two hundred".