Search a number
-
+
2311100000 = 2555112191
BaseRepresentation
bin1000100111000000…
…1001011001100000
312222001202001012022
42021300021121200
514213120200000
61021154521012
7111162011606
oct21160113140
95861661168
102311100000
11a86612700
12545b96168
132aaa605c1
1417cd1b876
15d7d65585
hex89c09660

2311100000 has 216 divisors, whose sum is σ = 6283847808. Its totient is φ = 836000000.

The previous prime is 2311099937. The next prime is 2311100009. The reversal of 2311100000 is 11132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12099905 + ... + 12100095.

It is an arithmetic number, because the mean of its divisors is an integer number (29091888).

Almost surely, 22311100000 is an apocalyptic number.

2311100000 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 2311100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141923904).

2311100000 is an abundant number, since it is smaller than the sum of its proper divisors (3972747808).

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

2311100000 is an equidigital number, since it uses as much as digits as its factorization.

2311100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2311100000 is about 48073.9014435067. The cubic root of 2311100000 is about 1322.1262029884.

Adding to 2311100000 its reverse (11132), we get a palindrome (2311111132).

The spelling of 2311100000 in words is "two billion, three hundred eleven million, one hundred thousand".