Search a number
-
+
300210020000 = 2554115325747
BaseRepresentation
bin1000101111001011110…
…10010101111010100000
31001200220011010011000122
410113211322111322200
514404312231120000
6345525314335412
730455325031502
oct4274572257240
91050804104018
10300210020000
11106355803450
124a22388a568
13224044b38b7
141075cdb1d72
157c20d47085
hex45e5e95ea0

300210020000 has 240 divisors, whose sum is σ = 820937490912. Its totient is φ = 107103360000.

The previous prime is 300210019987. The next prime is 300210020009. The reversal of 300210020000 is 20012003.

It is a super-2 number, since 2×3002100200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 300210020000.

It is not an unprimeable number, because it can be changed into a prime (300210020009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11647127 + ... + 11672873.

Almost surely, 2300210020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410468745456).

300210020000 is an abundant number, since it is smaller than the sum of its proper divisors (520727470912).

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

300210020000 is a wasteful number, since it uses less digits than its factorization.

300210020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25841 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 300210020000 its reverse (20012003), we get a palindrome (300230032003).

The spelling of 300210020000 in words is "three hundred billion, two hundred ten million, twenty thousand".