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2134122336 = 2533173143109
BaseRepresentation
bin111111100110100…
…0001111101100000
312111201201122111000
41333031001331200
513332313403321
6551433352000
7103612512003
oct17715017540
95451648430
102134122336
119a5724775
124b6868600
132801a72a8
1416360d53a
15c7557826
hex7f341f60

2134122336 has 384 divisors, whose sum is σ = 7025356800. Its totient is φ = 627056640.

The previous prime is 2134122323. The next prime is 2134122349. The reversal of 2134122336 is 6332214312.

2134122336 is a `hidden beast` number, since 2 + 13 + 412 + 233 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2134122323) and next prime (2134122349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19579050 + ... + 19579158.

It is an arithmetic number, because the mean of its divisors is an integer number (18295200).

Almost surely, 22134122336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512678400).

2134122336 is an abundant number, since it is smaller than the sum of its proper divisors (4891234464).

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

2134122336 is a wasteful number, since it uses less digits than its factorization.

2134122336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2134122336 is about 46196.5619499980. The cubic root of 2134122336 is about 1287.4778627670.

Adding to 2134122336 its reverse (6332214312), we get a palindrome (8466336648).

The spelling of 2134122336 in words is "two billion, one hundred thirty-four million, one hundred twenty-two thousand, three hundred thirty-six".