Search a number
-
+
12323330400 = 253525134721
BaseRepresentation
bin10110111101000011…
…10001100101100000
31011210211112001021110
423132201301211200
5200214233033100
65354455423320
7614245402653
oct133641614540
934724461243
1012323330400
115254220587
12247b084b40
1312151408a4
1484c94589a
154c1d3c250
hex2de871960

12323330400 has 72 divisors (see below), whose sum is σ = 40112448264. Its totient is φ = 3286220800.

The previous prime is 12323330399. The next prime is 12323330401. The reversal of 12323330400 is 403332321.

It is an interprime number because it is at equal distance from previous prime (12323330399) and next prime (12323330401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323330401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564961 + ... + 2569760.

It is an arithmetic number, because the mean of its divisors is an integer number (557117337).

Almost surely, 212323330400 is an apocalyptic number.

12323330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12323330400 is an abundant number, since it is smaller than the sum of its proper divisors (27789117864).

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

12323330400 is a wasteful number, since it uses less digits than its factorization.

12323330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134744 (or 5134731 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12323330400 its reverse (403332321), we get a palindrome (12726662721).

The spelling of 12323330400 in words is "twelve billion, three hundred twenty-three million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5134721 10269442 15404163 20538884 25673605 30808326 41077768 51347210 61616652 77020815 82155536 102694420 123233304 128368025 154041630 164311072 205388840 246466608 256736050 308083260 385104075 410777680 492933216 513472100 616166520 770208150 821555360 1026944200 1232333040 1540416300 2053888400 2464666080 3080832600 4107776800 6161665200 12323330400