Search a number
-
+
11034301103300 = 22524713611724999
BaseRepresentation
bin1010000010010001111110…
…0110001111110011000100
31110001212110102020021012202
42200210133212033303010
52421241222040301200
635245030555134032
72216126160562046
oct240443746176304
943055412207182
1011034301103300
113574691344572
1212a2631144318
136206b7903897
142a20c4d13a96
15142062bd41d5
hexa091f98fcc4

11034301103300 has 72 divisors (see below), whose sum is σ = 24471871200000. Its totient is φ = 4316634995200.

The previous prime is 11034301103261. The next prime is 11034301103327. The reversal of 11034301103300 is 330110343011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5534201 + ... + 7259199.

It is an arithmetic number, because the mean of its divisors is an integer number (339887100000).

Almost surely, 211034301103300 is an apocalyptic number.

11034301103300 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 11034301103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235935600000).

11034301103300 is an abundant number, since it is smaller than the sum of its proper divisors (13437570096700).

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

11034301103300 is a wasteful number, since it uses less digits than its factorization.

11034301103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726421 (or 1726414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11034301103300 its reverse (330110343011), we get a palindrome (11364411446311).

The spelling of 11034301103300 in words is "eleven trillion, thirty-four billion, three hundred one million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1361 2350 2722 4700 5444 6805 13610 27220 34025 63967 68050 127934 136100 255868 319835 639670 1279340 1599175 1724999 3198350 3449998 6396700 6899996 8624995 17249990 34499980 43124975 81074953 86249950 162149906 172499900 324299812 405374765 810749530 1621499060 2026873825 2347723639 4053747650 4695447278 8107495300 9390894556 11738618195 23477236390 46954472780 58693090975 110343011033 117386181950 220686022066 234772363900 441372044132 551715055165 1103430110330 2206860220660 2758575275825 5517150551650 11034301103300