Search a number
-
+
1032300300000 = 253557347137
BaseRepresentation
bin11110000010110011110…
…01001000011011100000
310122200112210010200020110
433001121321020123200
5113403122334100000
62110122054011320
7134403235525614
oct17013171103340
93580483120213
101032300300000
11368883675402
12148097346b40
13764650ac4a8
1437d6c19b344
151bcbc2c0850
hexf059e486e0

1032300300000 has 288 divisors, whose sum is σ = 3433488930144. Its totient is φ = 271503360000.

The previous prime is 1032300299983. The next prime is 1032300300023. The reversal of 1032300300000 is 30032301.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21876432 + ... + 21923568.

It is an arithmetic number, because the mean of its divisors is an integer number (11921836563).

Almost surely, 21032300300000 is an apocalyptic number.

1032300300000 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 1032300300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716744465072).

1032300300000 is an abundant number, since it is smaller than the sum of its proper divisors (2401188630144).

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

1032300300000 is an frugal number, since it uses more digits than its factorization.

1032300300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47248 (or 47220 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 1032300300000 its reverse (30032301), we get a palindrome (1032330332301).

The spelling of 1032300300000 in words is "one trillion, thirty-two billion, three hundred million, three hundred thousand".