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12432031000 = 2353431312207
BaseRepresentation
bin10111001010000000…
…11011110100011000
31012002102001121110121
423211000123310120
5200430044443000
65413341323024
7620035343224
oct134500336430
935072047417
1012432031000
1152aa614994
1224ab566474
13123180c67c
1485d15d784
154cb65eb1a
hex2e501bd18

12432031000 has 128 divisors (see below), whose sum is σ = 30008309760. Its totient is φ = 4817904000.

The previous prime is 12432030991. The next prime is 12432031097. The reversal of 12432031000 is 13023421.

It is a happy number.

It is a super-2 number, since 2×124320310002 (a number of 21 digits) contains 22 as substring.

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, 5631897 + ... + 5634103.

It is an arithmetic number, because the mean of its divisors is an integer number (234439920).

Almost surely, 212432031000 is an apocalyptic number.

12432031000 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 12432031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004154880).

12432031000 is an abundant number, since it is smaller than the sum of its proper divisors (17576278760).

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

12432031000 is a wasteful number, since it uses less digits than its factorization.

12432031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12432031000 its reverse (13023421), we get a palindrome (12445054421).

The spelling of 12432031000 in words is "twelve billion, four hundred thirty-two million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 131 172 200 215 250 262 344 430 500 524 655 860 1000 1048 1075 1310 1720 2150 2207 2620 3275 4300 4414 5240 5375 5633 6550 8600 8828 10750 11035 11266 13100 16375 17656 21500 22070 22532 26200 28165 32750 43000 44140 45064 55175 56330 65500 88280 94901 110350 112660 131000 140825 189802 220700 225320 275875 281650 289117 379604 441400 474505 551750 563300 578234 704125 759208 949010 1103500 1126600 1156468 1408250 1445585 1898020 2207000 2312936 2372525 2816500 2891170 3796040 4745050 5633000 5782340 7227925 9490100 11564680 11862625 12432031 14455850 18980200 23725250 24864062 28911700 36139625 47450500 49728124 57823400 62160155 72279250 94901000 99456248 124320310 144558500 248640620 289117000 310800775 497281240 621601550 1243203100 1554003875 2486406200 3108007750 6216015500 12432031000