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12443234100 = 22352113770677
BaseRepresentation
bin10111001011010110…
…01010111100110100
31012010012010210020020
423211223022330310
5200440431442400
65414421405140
7620232513303
oct134553127464
935105123206
1012443234100
115305976a50
1224b32697b0
131233c32a1b
1486083843a
154cc6242a0
hex2e5acaf34

12443234100 has 72 divisors (see below), whose sum is σ = 39275382048. Its totient is φ = 3016540800.

The previous prime is 12443234039. The next prime is 12443234129. The reversal of 12443234100 is 143234421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882039 + ... + 1888638.

Almost surely, 212443234100 is an apocalyptic number.

12443234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12443234100 is an abundant number, since it is smaller than the sum of its proper divisors (26832147948).

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

12443234100 is a wasteful number, since it uses less digits than its factorization.

12443234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770705 (or 3770698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12443234100 its reverse (143234421), we get a palindrome (12586468521).

The spelling of 12443234100 in words is "twelve billion, four hundred forty-three million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3770677 7541354 11312031 15082708 18853385 22624062 37706770 41477447 45248124 56560155 75413540 82954894 94266925 113120310 124432341 165909788 188533850 207387235 226240620 248864682 282800775 377067700 414774470 497729364 565601550 622161705 829548940 1036936175 1131203100 1244323410 2073872350 2488646820 3110808525 4147744700 6221617050 12443234100