Search a number
-
+
10012301230200 = 23352331491102677
BaseRepresentation
bin1001000110110010101110…
…1010001000000001111000
31022110011111111011111022220
42101230223222020001320
52303020143103331300
633143330535044040
72052236105153223
oct221545352100170
938404444144286
1010012301230200
11321021402a375
12115854b510620
1357820482ba69
14268852b605ba
15125699d66da0
hex91b2ba88078

10012301230200 has 192 divisors, whose sum is σ = 31195613531520. Its totient is φ = 2656433472000.

The previous prime is 10012301230117. The next prime is 10012301230207. The reversal of 10012301230200 is 203210321001.

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 10012301230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012301230207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97461262 + ... + 97563938.

It is an arithmetic number, because the mean of its divisors is an integer number (162477153810).

Almost surely, 210012301230200 is an apocalyptic number.

10012301230200 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 10012301230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15597806765760).

10012301230200 is an abundant number, since it is smaller than the sum of its proper divisors (21183312301320).

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

10012301230200 is a wasteful number, since it uses less digits than its factorization.

10012301230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103518 (or 103509 counting only the distinct ones).

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

Adding to 10012301230200 its reverse (203210321001), we get a palindrome (10215511551201).

The spelling of 10012301230200 in words is "ten trillion, twelve billion, three hundred one million, two hundred thirty thousand, two hundred".