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13230823000 = 2353413131031
BaseRepresentation
bin11000101001001111…
…00101011001011000
31021011002010110002111
430110213211121120
5204044042314000
610024514242104
7645605065663
oct142447453130
937132113074
1013230823000
11567a50016a
122692b86334
13132b15b765
148d72926da
15526848cba
hex3149e5658

13230823000 has 128 divisors (see below), whose sum is σ = 31847437440. Its totient is φ = 5141760000.

The previous prime is 13230822967. The next prime is 13230823027. The reversal of 13230823000 is 32803231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12832485 + ... + 12833515.

It is an arithmetic number, because the mean of its divisors is an integer number (248808105).

Almost surely, 213230823000 is an apocalyptic number.

13230823000 is a gapful number since it is divisible by the number (10) 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 13230823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923718720).

13230823000 is an abundant number, since it is smaller than the sum of its proper divisors (18616614440).

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

13230823000 is a wasteful number, since it uses less digits than its factorization.

13230823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The spelling of 13230823000 in words is "thirteen billion, two hundred thirty million, eight hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 313 328 410 500 626 820 1000 1025 1031 1252 1565 1640 2050 2062 2504 3130 4100 4124 5125 5155 6260 7825 8200 8248 10250 10310 12520 12833 15650 20500 20620 25666 25775 31300 39125 41000 41240 42271 51332 51550 62600 64165 78250 84542 102664 103100 128330 128875 156500 169084 206200 211355 256660 257750 313000 320825 322703 338168 422710 513320 515500 641650 645406 845420 1031000 1056775 1283300 1290812 1604125 1613515 1690840 2113550 2566600 2581624 3208250 3227030 4227100 5283875 6416500 6454060 8067575 8454200 10567750 12833000 12908120 13230823 16135150 21135500 26461646 32270300 40337875 42271000 52923292 64540600 66154115 80675750 105846584 132308230 161351500 264616460 322703000 330770575 529232920 661541150 1323082300 1653852875 2646164600 3307705750 6615411500 13230823000