Search a number
-
+
11230021120 = 29525117477
BaseRepresentation
bin10100111010101110…
…01000011000000000
31001222122021011220011
422131113020120000
5140444341133440
65054202154304
7545201414233
oct123527103000
931878234804
1011230021120
11484306609a
122214ab2994
13109c793416
1478766941a
1545ad789ea
hex29d5c8600

11230021120 has 80 divisors (see below), whose sum is σ = 27034550928. Its totient is φ = 4473856000.

The previous prime is 11230021087. The next prime is 11230021171. The reversal of 11230021120 is 2112003211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112300211202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11230021120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633822 + ... + 651298.

Almost surely, 211230021120 is an apocalyptic number.

11230021120 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 11230021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517275464).

11230021120 is an abundant number, since it is smaller than the sum of its proper divisors (15804529808).

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

11230021120 is an equidigital number, since it uses as much as digits as its factorization.

11230021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17751 (or 17735 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11230021120 its reverse (2112003211), we get a palindrome (13342024331).

The spelling of 11230021120 in words is "eleven billion, two hundred thirty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 512 640 1004 1255 1280 2008 2510 2560 4016 5020 8032 10040 16064 17477 20080 32128 34954 40160 64256 69908 80320 87385 128512 139816 160640 174770 279632 321280 349540 559264 642560 699080 1118528 1398160 2237056 2796320 4386727 4474112 5592640 8773454 8948224 11185280 17546908 21933635 22370560 35093816 43867270 44741120 70187632 87734540 140375264 175469080 280750528 350938160 561501056 701876320 1123002112 1403752640 2246004224 2807505280 5615010560 11230021120