Search a number
-
+
1101113320300 = 225273119715209
BaseRepresentation
bin10000000001011111011…
…101111110001101101100
310220021011110222022001221
4100001133131332031230
5121020040002222200
62201502223513124
7142360420536220
oct20013735761554
93807143868057
101101113320300
11394a85844014
121594a07587a4
137cab0640b96
143b4192b2780
151d9985b891a
hex1005f77e36c

1101113320300 has 144 divisors (see below), whose sum is σ = 2742889443840. Its totient is φ = 375850944000.

The previous prime is 1101113320289. The next prime is 1101113320309. The reversal of 1101113320300 is 30233111011.

It is a super-3 number, since 3×11011133203003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101113320309) 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, 211384096 + ... + 211389304.

It is an arithmetic number, because the mean of its divisors is an integer number (19047843360).

Almost surely, 21101113320300 is an apocalyptic number.

1101113320300 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 1101113320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371444721920).

1101113320300 is an abundant number, since it is smaller than the sum of its proper divisors (1641776123540).

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

1101113320300 is a wasteful number, since it uses less digits than its factorization.

1101113320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1101113320300 its reverse (30233111011), we get a palindrome (1131346431311).

The spelling of 1101113320300 in words is "one trillion, one hundred one billion, one hundred thirteen million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 311 350 622 700 971 1244 1555 1942 2177 3110 3884 4354 4855 5209 6220 6797 7775 8708 9710 10418 10885 13594 15550 19420 20836 21770 24275 26045 27188 31100 33985 36463 43540 48550 52090 54425 67970 72926 97100 104180 108850 130225 135940 145852 169925 182315 217700 260450 301981 339850 364630 520900 603962 679700 729260 911575 1207924 1509905 1619999 1823150 2113867 3019810 3239998 3646300 4227734 5057939 6039620 6479996 7549525 8099995 8455468 10115878 10569335 11339993 15099050 16199990 20231756 21138670 22679986 25289695 30198100 32399980 35405573 40499975 42277340 45359972 50579390 52846675 56699965 70811146 80999950 101158780 105693350 113399930 126448475 141622292 161999900 177027865 211386700 226799860 252896950 283499825 354055730 505793900 566999650 708111460 885139325 1133999300 1573019029 1770278650 3146038058 3540557300 6292076116 7865095145 11011133203 15730190290 22022266406 31460380580 39325475725 44044532812 55055666015 78650951450 110111332030 157301902900 220222664060 275278330075 550556660150 1101113320300