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13231030300 = 225217101263293
BaseRepresentation
bin11000101001010000…
…11000000000011100
31021011002111222110021
430110220120000130
5204044120432200
610024522521524
7645606621235
oct142450300034
937132458407
1013231030300
11567a631994
1226930662a4
13132b201c17
148d730808c
1552688a41a
hex314a1801c

13231030300 has 144 divisors (see below), whose sum is σ = 30923145792. Its totient is φ = 4896256000.

The previous prime is 13231030243. The next prime is 13231030321. The reversal of 13231030300 is 303013231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45156954 + ... + 45157246.

It is an arithmetic number, because the mean of its divisors is an integer number (214744068).

Almost surely, 213231030300 is an apocalyptic number.

13231030300 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 13231030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461572896).

13231030300 is an abundant number, since it is smaller than the sum of its proper divisors (17692115492).

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

13231030300 is a wasteful number, since it uses less digits than its factorization.

13231030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13231030300 its reverse (303013231), we get a palindrome (13534043531).

The spelling of 13231030300 in words is "thirteen billion, two hundred thirty-one million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 170 202 263 293 340 404 425 505 526 586 850 1010 1052 1172 1315 1465 1700 1717 2020 2525 2630 2930 3434 4471 4981 5050 5260 5860 6575 6868 7325 8585 8942 9962 10100 13150 14650 17170 17884 19924 22355 24905 26300 26563 29300 29593 34340 42925 44710 49810 53126 59186 77059 85850 89420 99620 106252 111775 118372 124525 132815 147965 154118 171700 223550 249050 265630 295930 308236 385295 447100 451571 498100 503081 531260 591860 664075 739825 770590 903142 1006162 1310003 1328150 1479650 1541180 1806284 1926475 2012324 2257855 2515405 2620006 2656300 2959300 3852950 4515710 5030810 5240012 6550015 7705900 7782959 9031420 10061620 11289275 12577025 13100030 15565918 22578550 25154050 26200060 31131836 32750075 38914795 45157100 50308100 65500150 77829590 131000300 132310303 155659180 194573975 264620606 389147950 529241212 661551515 778295900 1323103030 2646206060 3307757575 6615515150 13231030300