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12449720100 = 22352173239879
BaseRepresentation
bin10111001100000111…
…11010011100100100
31012010122100022100110
423212003322130210
5200444112020400
65415212413020
7620341606026
oct134603723444
935118308313
1012449720100
1153095a6a84
1224b5477170
131235393cac
14861646016
154ccea5e50
hex2e60fa724

12449720100 has 72 divisors (see below), whose sum is σ = 36229556160. Its totient is φ = 3300721280.

The previous prime is 12449720099. The next prime is 12449720119. The reversal of 12449720100 is 102794421.

12449720100 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 (30).

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, 68040 + ... + 171839.

It is an arithmetic number, because the mean of its divisors is an integer number (503188280).

Almost surely, 212449720100 is an apocalyptic number.

12449720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12449720100 is an abundant number, since it is smaller than the sum of its proper divisors (23779836060).

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

12449720100 is a wasteful number, since it uses less digits than its factorization.

12449720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240069 (or 240062 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 12449720100 in words is "twelve billion, four hundred forty-nine million, seven hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 239879 479758 719637 959516 1199395 1439274 2398790 2878548 3598185 4797580 5996975 7196370 11993950 14392740 17990925 23987900 35981850 41499067 71963700 82998134 124497201 165996268 207495335 248994402 414990670 497988804 622486005 829981340 1037476675 1244972010 2074953350 2489944020 3112430025 4149906700 6224860050 12449720100