Search a number
-
+
12331133320 = 2351128025303
BaseRepresentation
bin10110111101111111…
…00010100110001000
31011211101012110212111
423132333202212020
5200223232231240
65355334552104
7614401622002
oct133677424610
934741173774
1012331133320
11525866aa80
122481808634
1312169433bc
1484d9b7372
154c287e1ea
hex2defe2988

12331133320 has 32 divisors (see below), whose sum is σ = 30267328320. Its totient is φ = 4484048320.

The previous prime is 12331133291. The next prime is 12331133341. The reversal of 12331133320 is 2333113321.

It is a super-2 number, since 2×123311333202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12331133291 and 12331133300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14012212 + ... + 14013091.

It is an arithmetic number, because the mean of its divisors is an integer number (945854010).

Almost surely, 212331133320 is an apocalyptic number.

12331133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331133320 is an abundant number, since it is smaller than the sum of its proper divisors (17936195000).

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

12331133320 is a wasteful number, since it uses less digits than its factorization.

12331133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28025325 (or 28025321 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12331133320 its reverse (2333113321), we get a palindrome (14664246641).

The spelling of 12331133320 in words is "twelve billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 28025303 56050606 112101212 140126515 224202424 280253030 308278333 560506060 616556666 1121012120 1233113332 1541391665 2466226664 3082783330 6165566660 12331133320