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423321012000 = 25335317230567
BaseRepresentation
bin1100010100011111110…
…01100000011100100000
31111110122222011112021000
412022033321200130200
523413430134341000
6522245422232000
742404201142435
oct6121771403440
91443588145230
10423321012000
11153590747937
126a061425600
1330bc4074223
14166bb573b8c
15b028eb8000
hex628fe60720

423321012000 has 384 divisors, whose sum is σ = 1631536058880. Its totient is φ = 106244812800.

The previous prime is 423321011999. The next prime is 423321012041. The reversal of 423321012000 is 210123324.

423321012000 is a `hidden beast` number, since 423 + 32 + 10 + 1 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1720717 + ... + 1951283.

It is an arithmetic number, because the mean of its divisors is an integer number (4248791820).

Almost surely, 2423321012000 is an apocalyptic number.

423321012000 is a gapful number since it is divisible by the number (40) 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 423321012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815768029440).

423321012000 is an abundant number, since it is smaller than the sum of its proper divisors (1208215046880).

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

423321012000 is a wasteful number, since it uses less digits than its factorization.

423321012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230618 (or 230594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 423321012000 its reverse (210123324), we get a palindrome (423531135324).

The spelling of 423321012000 in words is "four hundred twenty-three billion, three hundred twenty-one million, twelve thousand".