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12105543450 = 235271113372179
BaseRepresentation
bin10110100011000101…
…11110111100011010
31011020122201022202010
423101202332330122
5144243004342300
65321115450350
7605662264410
oct132142767432
934218638663
1012105543450
115152299a70
12241a1569b6
1311abc99580
1482ba532b0
154acb6ca50
hex2d18bef1a

12105543450 has 384 divisors, whose sum is σ = 41417349120. Its totient is φ = 2258150400.

The previous prime is 12105543409. The next prime is 12105543469. The reversal of 12105543450 is 5434550121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5554461 + ... + 5556639.

It is an arithmetic number, because the mean of its divisors is an integer number (107857680).

Almost surely, 212105543450 is an apocalyptic number.

12105543450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12105543450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708674560).

12105543450 is an abundant number, since it is smaller than the sum of its proper divisors (29311805670).

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

12105543450 is a wasteful number, since it uses less digits than its factorization.

12105543450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

It can be divided in two parts, 12105 and 543450, that added together give a palindrome (555555).

The spelling of 12105543450 in words is "twelve billion, one hundred five million, five hundred forty-three thousand, four hundred fifty".