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12331341000 = 23325311172431
BaseRepresentation
bin10110111110000000…
…10101010011001000
31011211101121000202100
423133000111103020
5200223310403000
65355343233400
7614403445326
oct133700252310
934741530670
1012331341000
1152587a2010
1224818a8860
1312169b6aa4
1484da2cd16
154c28c0a00
hex2df0154c8

12331341000 has 576 divisors, whose sum is σ = 48413064960. Its totient is φ = 2807040000.

The previous prime is 12331340929. The next prime is 12331341023. The reversal of 12331341000 is 14313321.

Added to its reverse (14313321) it gives a square (12345654321 = 1111112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28610785 + ... + 28611215.

It is an arithmetic number, because the mean of its divisors is an integer number (84050460).

Almost surely, 212331341000 is an apocalyptic number.

12331341000 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 12331341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24206532480).

12331341000 is an abundant number, since it is smaller than the sum of its proper divisors (36081723960).

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

12331341000 is a wasteful number, since it uses less digits than its factorization.

12331341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12331341000 its reverse (14313321), we get a palindrome (12345654321).

The spelling of 12331341000 in words is "twelve billion, three hundred thirty-one million, three hundred forty-one thousand".