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12334331000 = 2353109113159
BaseRepresentation
bin10110111110010111…
…01111010001111000
31011211121012221021002
423133023233101320
5200230042043000
65355531304132
7614441040455
oct133713572170
934747187232
1012334331000
11525a454492
1224828ab048
1312174c2a14
148501aa82c
154c2cb18d5
hex2df2ef478

12334331000 has 64 divisors (see below), whose sum is σ = 29127384000. Its totient is φ = 4888425600.

The previous prime is 12334330997. The next prime is 12334331027. The reversal of 12334331000 is 13343321.

It is a super-2 number, since 2×123343310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52421 + ... + 165579.

It is an arithmetic number, because the mean of its divisors is an integer number (455115375).

Almost surely, 212334331000 is an apocalyptic number.

12334331000 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 12334331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563692000).

12334331000 is an abundant number, since it is smaller than the sum of its proper divisors (16793053000).

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

12334331000 is a wasteful number, since it uses less digits than its factorization.

12334331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113289 (or 113275 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12334331000 its reverse (13343321), we get a palindrome (12347674321).

The spelling of 12334331000 in words is "twelve billion, three hundred thirty-four million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10900 13625 21800 27250 54500 109000 113159 226318 452636 565795 905272 1131590 2263180 2828975 4526360 5657950 11315900 12334331 14144875 22631800 24668662 28289750 49337324 56579500 61671655 98674648 113159000 123343310 246686620 308358275 493373240 616716550 1233433100 1541791375 2466866200 3083582750 6167165500 12334331000