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10102013200200 = 23352172029488119
BaseRepresentation
bin1001001100000000111011…
…1010001000011101001000
31022202202001200001202120110
42103000032322020131020
52311002410334401300
633252444545554320
72061563206263165
oct223001672103510
938682050052513
1010102013200200
113245270102239
121171a079459a0
13583800a8468c
1426cd236c306c
15127b9ac9b550
hex9300ee88748

10102013200200 has 192 divisors, whose sum is σ = 33174782928000. Its totient is φ = 2534152458240.

The previous prime is 10102013200199. The next prime is 10102013200241. The reversal of 10102013200200 is 200231020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20451741 + ... + 20939859.

It is an arithmetic number, because the mean of its divisors is an integer number (172785327750).

Almost surely, 210102013200200 is an apocalyptic number.

10102013200200 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 10102013200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587391464000).

10102013200200 is an abundant number, since it is smaller than the sum of its proper divisors (23072769727800).

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

10102013200200 is a wasteful number, since it uses less digits than its factorization.

10102013200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490184 (or 490175 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102013200200 its reverse (200231020101), we get a palindrome (10302244220301).

The spelling of 10102013200200 in words is "ten trillion, one hundred two billion, thirteen million, two hundred thousand, two hundred".