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12323002311000 = 2334531916747947
BaseRepresentation
bin1011001101010010110000…
…1011001110000101011000
31121122001211012220121020000
42303110230023032011120
53103400002042423000
642113035322333000
72411210325241143
oct263245413160530
947561735817200
1012323002311000
113a211795a9887
12147034465a160
136b5091c094b4
14308617a5105a
15165839be9000
hexb352c2ce158

12323002311000 has 640 divisors, whose sum is σ = 45615348979200. Its totient is φ = 3094473196800.

The previous prime is 12323002310989. The next prime is 12323002311023. The reversal of 12323002311000 is 11320032321.

12323002311000 is a `hidden beast` number, since 1 + 2 + 32 + 300 + 231 + 100 + 0 = 666.

It is a super-2 number, since 2×123230023110002 (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 256989027 + ... + 257036973.

It is an arithmetic number, because the mean of its divisors is an integer number (71273982780).

Almost surely, 212323002311000 is an apocalyptic number.

12323002311000 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 12323002311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807674489600).

12323002311000 is an abundant number, since it is smaller than the sum of its proper divisors (33292346668200).

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

12323002311000 is a wasteful number, since it uses less digits than its factorization.

12323002311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48166 (or 48143 counting only the distinct ones).

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

Adding to 12323002311000 its reverse (11320032321), we get a palindrome (12334322343321).

The spelling of 12323002311000 in words is "twelve trillion, three hundred twenty-three billion, two million, three hundred eleven thousand".