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12353314000 = 245331199247
BaseRepresentation
bin10111000000101000…
…01001110011010000
31011212220221101001011
423200110021303100
5200244422022000
65401450220304
7615061302466
oct134024116320
934786841034
1012353314000
11526a13a715
122489124694
13121b40b271
1485290c836
154c47b12ba
hex2e0509cd0

12353314000 has 80 divisors (see below), whose sum is σ = 30834026496. Its totient is φ = 4781904000.

The previous prime is 12353313997. The next prime is 12353314073. The reversal of 12353314000 is 41335321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37624 + ... + 161623.

Almost surely, 212353314000 is an apocalyptic number.

12353314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12353314000 is an abundant number, since it is smaller than the sum of its proper divisors (18480712496).

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

12353314000 is a wasteful number, since it uses less digits than its factorization.

12353314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199301 (or 199285 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 12353314000 its reverse (41335321), we get a palindrome (12394649321).

The spelling of 12353314000 in words is "twelve billion, three hundred fifty-three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 199247 398494 796988 996235 1593976 1992470 3187952 3984940 4981175 6176657 7969880 9962350 12353314 15939760 19924700 24706628 24905875 30883285 39849400 49413256 49811750 61766570 79698800 98826512 99623500 123533140 154416425 199247000 247066280 308832850 398494000 494132560 617665700 772082125 1235331400 1544164250 2470662800 3088328500 6176657000 12353314000