Search a number
-
+
100315500450 = 235211471293559
BaseRepresentation
bin101110101101101000…
…1010000111110100010
3100120221011022102111120
41131123101100332202
53120421232003300
6114030113153110
710150624453614
oct1353321207642
9316834272446
10100315500450
11395a8537280
121753755b796
1395c8ca68b9
144bd8d0adb4
152921cab3a0
hex175b450fa2

100315500450 has 96 divisors (see below), whose sum is σ = 277173688320. Its totient is φ = 23801467200.

The previous prime is 100315500437. The next prime is 100315500487. The reversal of 100315500450 is 54005513001.

It is a self number, because there is not a number n which added to its sum of digits gives 100315500450.

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 47 ways as a sum of consecutive naturals, for example, 569230 + ... + 724329.

It is an arithmetic number, because the mean of its divisors is an integer number (2887225920).

Almost surely, 2100315500450 is an apocalyptic number.

100315500450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100315500450 is an abundant number, since it is smaller than the sum of its proper divisors (176858187870).

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

100315500450 is a wasteful number, since it uses less digits than its factorization.

100315500450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293632 (or 1293627 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 100315500450 in words is "one hundred billion, three hundred fifteen million, five hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 47 50 55 66 75 94 110 141 150 165 235 275 282 330 470 517 550 705 825 1034 1175 1410 1551 1650 2350 2585 3102 3525 5170 7050 7755 12925 15510 25850 38775 77550 1293559 2587118 3880677 6467795 7761354 12935590 14229149 19403385 28458298 32338975 38806770 42687447 60797273 64677950 71145745 85374894 97016925 121594546 142291490 182391819 194033850 213437235 303986365 355728725 364783638 426874470 607972730 668770003 711457450 911959095 1067186175 1337540006 1519931825 1823918190 2006310009 2134372350 3039863650 3343850015 4012620018 4559795475 6687700030 9119590950 10031550045 16719250075 20063100090 33438500150 50157750225 100315500450