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14450302100 = 22521335331489
BaseRepresentation
bin11010111010100111…
…00001110010010100
31101022001210101221002
431131103201302110
5214043234131400
610345520042432
71021043353433
oct153523416224
941261711832
1014450302100
116145900933
122973463418
1314939b3220
149b121311a
15598930ed5
hex35d4e1c94

14450302100 has 72 divisors (see below), whose sum is σ = 33865983480. Its totient is φ = 5320212480.

The previous prime is 14450302099. The next prime is 14450302121. The reversal of 14450302100 is 120305441.

14450302100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6415689604 + 8034612496 = 80098^2 + 89636^2 .

It is a super-2 number, since 2×144503021002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 443156 + ... + 474644.

Almost surely, 214450302100 is an apocalyptic number.

14450302100 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 14450302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932991740).

14450302100 is an abundant number, since it is smaller than the sum of its proper divisors (19415681380).

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

14450302100 is a wasteful number, since it uses less digits than its factorization.

14450302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31869 (or 31862 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14450302100 its reverse (120305441), we get a palindrome (14570607541).

The spelling of 14450302100 in words is "fourteen billion, four hundred fifty million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 353 650 706 1300 1412 1765 3530 4589 7060 8825 9178 17650 18356 22945 31489 35300 45890 62978 91780 114725 125956 157445 229450 314890 409357 458900 629780 787225 818714 1574450 1637428 2046785 3148900 4093570 8187140 10233925 11115617 20467850 22231234 40935700 44462468 55578085 111156170 144503021 222312340 277890425 289006042 555780850 578012084 722515105 1111561700 1445030210 2890060420 3612575525 7225151050 14450302100