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100324430000 = 245417357991
BaseRepresentation
bin101110101101111001…
…1010101000010110000
3100120221210010002112122
41131123303111002300
53120431023230000
6114031032413412
710151063404364
oct1353363250260
9316853102478
10100324430000
1139602586173
121753a547268
1395caab2162
144bda1932a4
152922972085
hex175bcd50b0

100324430000 has 100 divisors (see below), whose sum is σ = 244303710288. Its totient is φ = 39897120000.

The previous prime is 100324429999. The next prime is 100324430023. The reversal of 100324430000 is 34423001.

100324430000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1701005 + ... + 1758995.

Almost surely, 2100324430000 is an apocalyptic number.

100324430000 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 100324430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122151855144).

100324430000 is an abundant number, since it is smaller than the sum of its proper divisors (143979280288).

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

100324430000 is an equidigital number, since it uses as much as digits as its factorization.

100324430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58192 (or 58171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 100324430000 its reverse (34423001), we get a palindrome (100358853001).

The spelling of 100324430000 in words is "one hundred billion, three hundred twenty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3460 4325 5000 6920 8650 10000 13840 17300 21625 34600 43250 57991 69200 86500 108125 115982 173000 216250 231964 289955 346000 432500 463928 579910 865000 927856 1159820 1449775 1730000 2319640 2899550 4639280 5799100 7248875 10032443 11598200 14497750 20064886 23196400 28995500 36244375 40129772 50162215 57991000 72488750 80259544 100324430 115982000 144977500 160519088 200648860 250811075 289955000 401297720 501622150 579910000 802595440 1003244300 1254055375 2006488600 2508110750 4012977200 5016221500 6270276875 10032443000 12540553750 20064886000 25081107500 50162215000 100324430000