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2311134120 = 2337529911
BaseRepresentation
bin1000100111000001…
…0001101110101000
312222001210210000000
42021300101232220
514213122242440
61021155343000
7111162213231
oct21160215650
95861723000
102311134120
11a866362a9
12545bb1a60
132aaa72ca9
1417cd2a088
15d7d70730
hex89c11ba8

2311134120 has 256 divisors, whose sum is σ = 8076672000. Its totient is φ = 594397440.

The previous prime is 2311134109. The next prime is 2311134143. The reversal of 2311134120 is 214311132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2311134093 and 2311134102.

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 63 ways as a sum of consecutive naturals, for example, 2536465 + ... + 2537375.

It is an arithmetic number, because the mean of its divisors is an integer number (31549500).

Almost surely, 22311134120 is an apocalyptic number.

2311134120 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 2311134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038336000).

2311134120 is an abundant number, since it is smaller than the sum of its proper divisors (5765537880).

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

2311134120 is an equidigital number, since it uses as much as digits as its factorization.

2311134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2311134120 is about 48074.2563125006. The cubic root of 2311134120 is about 1322.1327093741.

Adding to 2311134120 its reverse (214311132), we get a palindrome (2525445252).

The spelling of 2311134120 in words is "two billion, three hundred eleven million, one hundred thirty-four thousand, one hundred twenty".