Search a number
-
+
2300231011200 = 273521098232671
BaseRepresentation
bin100001011110010000011…
…100111100101110000000
322010220022001110110111120
4201132100130330232000
5300141333114324300
64520413405312240
7325120603664433
oct41362034745600
98126261413446
102300231011200
11807582491231
12311972865680
13138bac1b75a5
147d49056781a
153ec7aabe3a0
hex2179073cb80

2300231011200 has 384 divisors, whose sum is σ = 7658050329600. Its totient is φ = 606801715200.

The previous prime is 2300231011187. The next prime is 2300231011213. The reversal of 2300231011200 is 21101320032.

It is an interprime number because it is at equal distance from previous prime (2300231011187) and next prime (2300231011213).

It is a tau number, because it is divible by the number of its divisors (384).

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 2300231011200.

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, 861185865 + ... + 861188535.

It is an arithmetic number, because the mean of its divisors is an integer number (19942839400).

Almost surely, 22300231011200 is an apocalyptic number.

2300231011200 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 2300231011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829025164800).

2300231011200 is an abundant number, since it is smaller than the sum of its proper divisors (5357819318400).

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

2300231011200 is a wasteful number, since it uses less digits than its factorization.

2300231011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2300231011200 its reverse (21101320032), we get a palindrome (2321332331232).

The spelling of 2300231011200 in words is "two trillion, three hundred billion, two hundred thirty-one million, eleven thousand, two hundred".