Search a number
-
+
300003132000 = 253531113792213
BaseRepresentation
bin1000101110110011001…
…01001000001001100000
31001200100201211011001010
410113121211020021200
514403401300211000
6345453004140520
730450233355465
oct4273145101140
91050321734033
10300003132000
11106259a46430
124a186537740
13223a0687370
141073d71966c
157c0cacbd50
hex45d9948260

300003132000 has 768 divisors, whose sum is σ = 1169774161920. Its totient is φ = 66253824000.

The previous prime is 300003131999. The next prime is 300003132031. The reversal of 300003132000 is 231300003.

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 127 ways as a sum of consecutive naturals, for example, 135562894 + ... + 135565106.

It is an arithmetic number, because the mean of its divisors is an integer number (1523143440).

Almost surely, 2300003132000 is an apocalyptic number.

300003132000 is a gapful number since it is divisible by the number (30) 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 300003132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584887080960).

300003132000 is an abundant number, since it is smaller than the sum of its proper divisors (869771029920).

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

300003132000 is a wasteful number, since it uses less digits than its factorization.

300003132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2326 counting only the distinct ones).

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

Adding to 300003132000 its reverse (231300003), we get a palindrome (300234432003).

The spelling of 300003132000 in words is "three hundred billion, three million, one hundred thirty-two thousand".