Search a number
-
+
10300312130130 = 23251123135598573
BaseRepresentation
bin1001010111100011101001…
…1100100001001001010010
31100110200220110111010121200
42111320322130201021102
52322230014401131010
633523521552132030
72112113223340221
oct225707234411122
940420813433550
1010300312130130
11331137973a300
1211a4329837016
135994138411c9
142787758c0cb8
1512ce04c09cc0
hex95e3a721252

10300312130130 has 288 divisors, whose sum is σ = 30398415989760. Its totient is φ = 2415534739200.

The previous prime is 10300312130111. The next prime is 10300312130177. The reversal of 10300312130130 is 3103121300301.

It is a happy number.

10300312130130 is a `hidden beast` number, since 1 + 0 + 300 + 31 + 2 + 1 + 301 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1201478524 + ... + 1201487096.

It is an arithmetic number, because the mean of its divisors is an integer number (105550055520).

Almost surely, 210300312130130 is an apocalyptic number.

10300312130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300312130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199207994880).

10300312130130 is an abundant number, since it is smaller than the sum of its proper divisors (20098103859630).

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

10300312130130 is a wasteful number, since it uses less digits than its factorization.

10300312130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12198 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10300312130130 its reverse (3103121300301), we get a palindrome (13403433430431).

The spelling of 10300312130130 in words is "ten trillion, three hundred billion, three hundred twelve million, one hundred thirty thousand, one hundred thirty".