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12314231400 = 23352109188291
BaseRepresentation
bin10110111011111110…
…00100001001101000
31011210012101202210110
423131333010021220
5200204420401100
65353532414320
7614105145162
oct133577041150
934705352713
1012314231400
11524a076349
1224780173a0
1312132a6173
1484b657932
154c1141250
hex2ddfc4268

12314231400 has 96 divisors (see below), whose sum is σ = 38524543200. Its totient is φ = 3253651200.

The previous prime is 12314231389. The next prime is 12314231407. The reversal of 12314231400 is 413241321.

It is not an unprimeable number, because it can be changed into a prime (12314231407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28746 + ... + 159545.

It is an arithmetic number, because the mean of its divisors is an integer number (401297325).

Almost surely, 212314231400 is an apocalyptic number.

12314231400 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 12314231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262271600).

12314231400 is an abundant number, since it is smaller than the sum of its proper divisors (26210311800).

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

12314231400 is a wasteful number, since it uses less digits than its factorization.

12314231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188419 (or 188410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12314231400 its reverse (413241321), we get a palindrome (12727472721).

The spelling of 12314231400 in words is "twelve billion, three hundred fourteen million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 150 200 218 300 327 436 545 600 654 872 1090 1308 1635 2180 2616 2725 3270 4360 5450 6540 8175 10900 13080 16350 21800 32700 65400 188291 376582 564873 753164 941455 1129746 1506328 1882910 2259492 2824365 3765820 4518984 4707275 5648730 7531640 9414550 11297460 14121825 18829100 20523719 22594920 28243650 37658200 41047438 56487300 61571157 82094876 102618595 112974600 123142314 164189752 205237190 246284628 307855785 410474380 492569256 513092975 615711570 820948760 1026185950 1231423140 1539278925 2052371900 2462846280 3078557850 4104743800 6157115700 12314231400