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11341341000 = 233253111091051
BaseRepresentation
bin10101000111111111…
…10010000101001000
31002021101201211001200
422203333302011020
5141211340403000
65113220144200
7551022544053
oct124377620510
932241654050
1011341341000
11489a9893a0
122246238060
1310b986b482
14798365a9a
15465a17500
hex2a3ff2148

11341341000 has 384 divisors, whose sum is σ = 42242428800. Its totient is φ = 2721600000.

The previous prime is 11341340999. The next prime is 11341341001. The reversal of 11341341000 is 14314311.

11341341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11341340999) and next prime (11341341001).

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

It is not an unprimeable number, because it can be changed into a prime (11341341001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10790475 + ... + 10791525.

It is an arithmetic number, because the mean of its divisors is an integer number (110006325).

Almost surely, 211341341000 is an apocalyptic number.

11341341000 is a gapful number since it is divisible by the number (10) 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 11341341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121214400).

11341341000 is an abundant number, since it is smaller than the sum of its proper divisors (30901087800).

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

11341341000 is a wasteful number, since it uses less digits than its factorization.

11341341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

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

Adding to 11341341000 its reverse (14314311), we get a palindrome (11355655311).

The spelling of 11341341000 in words is "eleven billion, three hundred forty-one million, three hundred forty-one thousand".