Search a number
-
+
12353141000 = 235312353141
BaseRepresentation
bin10111000000100110…
…11111100100001000
31011212220121120201202
423200103133210020
5200244401003000
65401442403332
7615056652224
oct134023374410
934786546652
1012353141000
11526a031742
122489060548
13121b37a5b5
148528a5784
154c4779dd5
hex2e04df908

12353141000 has 32 divisors (see below), whose sum is σ = 28906352280. Its totient is φ = 4941256000.

The previous prime is 12353140999. The next prime is 12353141011. The reversal of 12353141000 is 14135321.

It can be written as a sum of positive squares in 4 ways, for example, as 5038444324 + 7314696676 = 70982^2 + 85526^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6175571 + ... + 6177570.

Almost surely, 212353141000 is an apocalyptic number.

12353141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12353141000 is an abundant number, since it is smaller than the sum of its proper divisors (16553211280).

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

12353141000 is a wasteful number, since it uses less digits than its factorization.

12353141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353162 (or 12353148 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12353141000 its reverse (14135321), we get a palindrome (12367276321).

The spelling of 12353141000 in words is "twelve billion, three hundred fifty-three million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12353141 24706282 49412564 61765705 98825128 123531410 247062820 308828525 494125640 617657050 1235314100 1544142625 2470628200 3088285250 6176570500 12353141000