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12035315140 = 2258925726309
BaseRepresentation
bin10110011010101110…
…00101010111000100
31011001202120100121121
423031113011113010
5144122020041030
65310130323324
7604150330222
oct131527052704
934052510547
1012035315140
115116692442
1223ba729544
13119a57ab64
148225b1b12
154a68e947a
hex2cd5c55c4

12035315140 has 48 divisors (see below), whose sum is σ = 25658564400. Its totient is φ = 4741332992.

The previous prime is 12035315137. The next prime is 12035315177. The reversal of 12035315140 is 4151353021.

It is a happy number.

12035315140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 286489476 + 11748825664 = 16926^2 + 108392^2 .

It is a super-2 number, since 2×120353151402 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 444306 + ... + 470614.

It is an arithmetic number, because the mean of its divisors is an integer number (534553425).

Almost surely, 212035315140 is an apocalyptic number.

12035315140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12035315140 is an abundant number, since it is smaller than the sum of its proper divisors (13623249260).

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

12035315140 is a wasteful number, since it uses less digits than its factorization.

12035315140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26664 (or 26662 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 12035315140 its reverse (4151353021), we get a palindrome (16186668161).

The spelling of 12035315140 in words is "twelve billion, thirty-five million, three hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 89 178 257 356 445 514 890 1028 1285 1780 2570 5140 22873 26309 45746 52618 91492 105236 114365 131545 228730 263090 457460 526180 2341501 4683002 6761413 9366004 11707505 13522826 23415010 27045652 33807065 46830020 67614130 135228260 601765757 1203531514 2407063028 3008828785 6017657570 12035315140