Search a number
-
+
103123321030020 = 22354323832427001
BaseRepresentation
bin10111011100101001000100…
…111010110000010110000100
3111112010111022112212012222010
4113130221010322300112010
5102004033030140430040
61003154111043534220
730502262012643114
oct2734510472602604
9445114275765863
10103123321030020
112a94939a335a85
12b695ba768a370
134570644bc6715
141b672a4143044
15bdc71a822e80
hex5dca44eb0584

103123321030020 has 144 divisors (see below), whose sum is σ = 296388435474432. Its totient is φ = 26789886144000.

The previous prime is 103123321030007. The next prime is 103123321030021. The reversal of 103123321030020 is 20030123321301.

It is not an unprimeable number, because it can be changed into a prime (103123321030021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41276520 + ... + 43703520.

It is an arithmetic number, because the mean of its divisors is an integer number (2058253024128).

Almost surely, 2103123321030020 is an apocalyptic number.

103123321030020 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 103123321030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148194217737216).

103123321030020 is an abundant number, since it is smaller than the sum of its proper divisors (193265114444412).

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

103123321030020 is a wasteful number, since it uses less digits than its factorization.

103123321030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427482 (or 2427437 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103123321030020 its reverse (20030123321301), we get a palindrome (123153444351321).

The spelling of 103123321030020 in words is "one hundred three trillion, one hundred twenty-three billion, three hundred twenty-one million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 383 430 516 645 766 860 1149 1290 1532 1849 1915 2298 2580 3698 3830 4596 5547 5745 7396 7660 9245 11094 11490 16469 18490 22188 22980 27735 32938 36980 49407 55470 65876 82345 98814 110940 164690 197628 247035 329380 494070 708167 988140 1416334 2124501 2427001 2832668 3540835 4249002 4854002 7081670 7281003 8498004 9708004 10622505 12135005 14163340 14562006 21245010 24270010 29124012 36405015 42490020 48540020 72810030 104361043 145620060 208722086 313083129 417444172 521805215 626166258 929541383 1043610430 1252332516 1565415645 1859082766 2087220860 2788624149 3130831290 3718165532 4487524849 4647706915 5577248298 6261662580 8975049698 9295413830 11154496596 13462574547 13943120745 17950099396 18590827660 22437624245 26925149094 27886241490 39970279469 44875248490 53850298188 55772482980 67312872735 79940558938 89750496980 119910838407 134625745470 159881117876 199851397345 239821676814 269251490940 399702794690 479643353628 599554192035 799405589380 1199108384070 1718722017167 2398216768140 3437444034334 5156166051501 6874888068668 8593610085835 10312332103002 17187220171670 20624664206004 25780830257505 34374440343340 51561660515010 103123321030020