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2133112860384 = 253113237110223
BaseRepresentation
bin11111000010100111011…
…011110010111011100000
321112220221022011210021020
4133002213123302323200
5234422103343013014
64311534415325440
7310053345102102
oct37024733627340
97486838153236
102133112860384
11752714666000
122a54b3220880
131261c831770c
147535953d572
153a74927a1a9
hex1f0a76f2ee0

2133112860384 has 384 divisors, whose sum is σ = 6517877538816. Its totient is φ = 609525593600.

The previous prime is 2133112860371. The next prime is 2133112860391. The reversal of 2133112860384 is 4830682113312.

It is a super-2 number, since 2×21331128603842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208653097 + ... + 208663319.

It is an arithmetic number, because the mean of its divisors is an integer number (16973639424).

Almost surely, 22133112860384 is an apocalyptic number.

2133112860384 is a gapful number since it is divisible by the number (24) 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 2133112860384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258938769408).

2133112860384 is an abundant number, since it is smaller than the sum of its proper divisors (4384764678432).

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

2133112860384 is a wasteful number, since it uses less digits than its factorization.

2133112860384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

Adding to 2133112860384 its reverse (4830682113312), we get a palindrome (6963794973696).

The spelling of 2133112860384 in words is "two trillion, one hundred thirty-three billion, one hundred twelve million, eight hundred sixty thousand, three hundred eighty-four".