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12344030100 = 2233524571863
BaseRepresentation
bin10110111111100001…
…01111001110010100
31011212021110200221000
423133300233032110
5200240032430400
65400515223300
7614616344643
oct133760571624
934767420830
1012344030100
115264979576
122485ba7b30
13121950a62c
148515b335a
154c3a7a600
hex2dfc2f394

12344030100 has 72 divisors (see below), whose sum is σ = 39683779520. Its totient is φ = 3291740640.

The previous prime is 12344030099. The next prime is 12344030107. The reversal of 12344030100 is 103044321.

12344030100 is a `hidden beast` number, since 123 + 440 + 3 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344030107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283232 + ... + 2288631.

Almost surely, 212344030100 is an apocalyptic number.

12344030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344030100 is an abundant number, since it is smaller than the sum of its proper divisors (27339749420).

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

12344030100 is a wasteful number, since it uses less digits than its factorization.

12344030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571886 (or 4571873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12344030100 its reverse (103044321), we get a palindrome (12447074421).

The spelling of 12344030100 in words is "twelve billion, three hundred forty-four million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4571863 9143726 13715589 18287452 22859315 27431178 41146767 45718630 54862356 68577945 82293534 91437260 114296575 123440301 137155890 164587068 205733835 228593150 246880602 274311780 342889725 411467670 457186300 493761204 617201505 685779450 822935340 1028669175 1234403010 1371558900 2057338350 2468806020 3086007525 4114676700 6172015050 12344030100