Search a number
-
+
11330321112300 = 22352157124040571
BaseRepresentation
bin1010010011100000101111…
…0000111101110011101100
31111010011112120002210200210
42210320023300331303230
52441113444201043200
640033024435222420
72246405630255211
oct244701360756354
944104476083623
1011330321112300
113679186983703
12132ba85747a10
136425a1cc8318
142b256762db08
15149adac71650
hexa4e0bc3dcec

11330321112300 has 72 divisors (see below), whose sum is σ = 32803264331712. Its totient is φ = 3019495592000.

The previous prime is 11330321112283. The next prime is 11330321112401. The reversal of 11330321112300 is 321112303311.

It is a happy number.

It is a super-2 number, since 2×113303211123002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11548986 + ... + 12491585.

It is an arithmetic number, because the mean of its divisors is an integer number (455600893496).

Almost surely, 211330321112300 is an apocalyptic number.

11330321112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330321112300 is an abundant number, since it is smaller than the sum of its proper divisors (21472943219412).

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

11330321112300 is a wasteful number, since it uses less digits than its factorization.

11330321112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24042159 (or 24042152 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11330321112300 its reverse (321112303311), we get a palindrome (11651433415611).

The spelling of 11330321112300 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1571 3142 4713 6284 7855 9426 15710 18852 23565 31420 39275 47130 78550 94260 117825 157100 235650 471300 24040571 48081142 72121713 96162284 120202855 144243426 240405710 288486852 360608565 480811420 601014275 721217130 1202028550 1442434260 1803042825 2404057100 3606085650 7212171300 37767737041 75535474082 113303211123 151070948164 188838685205 226606422246 377677370410 453212844492 566516055615 755354740820 944193426025 1133032111230 1888386852050 2266064222460 2832580278075 3776773704100 5665160556150 11330321112300