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12240320100 = 2235249578231
BaseRepresentation
bin10110110011001010…
…00111011001100100
31011121001022200112220
423121211013121210
5200032010220400
65342332312340
7612220001301
oct133145073144
934531280486
1012240320100
115211383728
1224573126b0
131200b98278
148418d80a8
154b98e17a0
hex2d9947664

12240320100 has 72 divisors (see below), whose sum is σ = 35426774208. Its totient is φ = 3263030400.

The previous prime is 12240320069. The next prime is 12240320107. The reversal of 12240320100 is 102304221.

12240320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12240320100.

It is not an unprimeable number, because it can be changed into a prime (12240320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482985 + ... + 1491215.

Almost surely, 212240320100 is an apocalyptic number.

12240320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240320100 is an abundant number, since it is smaller than the sum of its proper divisors (23186454108).

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

12240320100 is a wasteful number, since it uses less digits than its factorization.

12240320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13205 (or 13198 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12240320100 its reverse (102304221), we get a palindrome (12342624321).

The spelling of 12240320100 in words is "twelve billion, two hundred forty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4957 8231 9914 14871 16462 19828 24693 24785 29742 32924 41155 49386 49570 59484 74355 82310 98772 99140 123465 123925 148710 164620 205775 246930 247850 297420 371775 411550 493860 495700 617325 743550 823100 1234650 1487100 2469300 40801067 81602134 122403201 163204268 204005335 244806402 408010670 489612804 612016005 816021340 1020026675 1224032010 2040053350 2448064020 3060080025 4080106700 6120160050 12240320100