Search a number
-
+
20300130111300 = 223521343269450001
BaseRepresentation
bin1001001110110011111100…
…00010110100111101000100
32122212200011222012212112220
410213121332002310331010
510130044131302030200
6111101430120012340
74163431101620424
oct447317602647504
978780158185486
1020300130111300
116517267251936
12233a3746010b0
13b433a9069980
1450276278c484
152530bdb964a0
hex12767e0b4f44

20300130111300 has 288 divisors, whose sum is σ = 64964880731520. Its totient is φ = 4862592000000.

The previous prime is 20300130111221. The next prime is 20300130111311. The reversal of 20300130111300 is 311103100302.

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 20300130111300.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 44886300 + ... + 45336300.

It is an arithmetic number, because the mean of its divisors is an integer number (225572502540).

Almost surely, 220300130111300 is an apocalyptic number.

20300130111300 is a gapful number since it is divisible by the number (20) 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 20300130111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32482440365760).

20300130111300 is an abundant number, since it is smaller than the sum of its proper divisors (44664750620220).

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

20300130111300 is a wasteful number, since it uses less digits than its factorization.

20300130111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450343 (or 450336 counting only the distinct ones).

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

Adding to 20300130111300 its reverse (311103100302), we get a palindrome (20611233211602).

The spelling of 20300130111300 in words is "twenty trillion, three hundred billion, one hundred thirty million, one hundred eleven thousand, three hundred".