Search a number
-
+
2312130000 = 24354372083
BaseRepresentation
bin1000100111010000…
…0100110111010000
312222010200101002110
42021310010313100
514213401130000
61021232545320
7111203531535
oct21164046720
95863611073
102312130000
11a87156544
125463b2240
132ab03137b
1417d108d8c
15d7eba850
hex89d04dd0

2312130000 has 200 divisors, whose sum is σ = 7669270048. Its totient is φ = 599616000.

The previous prime is 2312129987. The next prime is 2312130013. The reversal of 2312130000 is 312132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2312129987) and next prime (2312130013).

It is a tau number, because it is divible by the number of its divisors (200).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1108959 + ... + 1111041.

Almost surely, 22312130000 is an apocalyptic number.

2312130000 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 2312130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834635024).

2312130000 is an abundant number, since it is smaller than the sum of its proper divisors (5357140048).

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

2312130000 is a wasteful number, since it uses less digits than its factorization.

2312130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2312130000 is about 48084.6129234706. The cubic root of 2312130000 is about 1322.3225867788.

Adding to 2312130000 its reverse (312132), we get a palindrome (2312442132).

The spelling of 2312130000 in words is "two billion, three hundred twelve million, one hundred thirty thousand".