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12343331000 = 23537112131959
BaseRepresentation
bin10110111111011100…
…00100100010111000
31011212020011011221102
423133232010202320
5200234343043000
65400452230532
7614610403520
oct133756044270
934766134842
1012343331000
115264541300
12248590b448
131219324370
14851470680
154c398d3d5
hex2dfb848b8

12343331000 has 768 divisors, whose sum is σ = 41827968000. Its totient is φ = 3307392000.

The previous prime is 12343330957. The next prime is 12343331003. The reversal of 12343331000 is 13334321.

It is a super-2 number, since 2×123433310002 (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 not an unprimeable number, because it can be changed into a prime (12343331003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209208971 + ... + 209209029.

It is an arithmetic number, because the mean of its divisors is an integer number (54463500).

Almost surely, 212343331000 is an apocalyptic number.

12343331000 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 12343331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984000).

12343331000 is an abundant number, since it is smaller than the sum of its proper divisors (29484637000).

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

12343331000 is a wasteful number, since it uses less digits than its factorization.

12343331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

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

Adding to 12343331000 its reverse (13334321), we get a palindrome (12356665321).

It can be divided in two parts, 12343 and 331000, that added together give a palindrome (343343).

The spelling of 12343331000 in words is "twelve billion, three hundred forty-three million, three hundred thirty-one thousand".