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332002012000 = 2553167701709
BaseRepresentation
bin1001101010011001101…
…11001010101101100000
31011201221210100200021211
410311030313022231200
520414420003341000
6412304123155504
732662214353021
oct4651467125540
91151853320254
10332002012000
1111888a5315aa
1254416975b94
13253ccbc3a99
14120d740ac48
158981e467ba
hex4d4cdcab60

332002012000 has 192 divisors, whose sum is σ = 822943255680. Its totient is φ = 131631360000.

The previous prime is 332002011983. The next prime is 332002012007. The reversal of 332002012000 is 210200233.

It is a happy number.

It is a super-2 number, since 2×3320020120002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468267646 + ... + 468268354.

It is an arithmetic number, because the mean of its divisors is an integer number (4286162790).

Almost surely, 2332002012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332002012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411471627840).

332002012000 is an abundant number, since it is smaller than the sum of its proper divisors (490941243680).

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

332002012000 is a wasteful number, since it uses less digits than its factorization.

332002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 332002012000 its reverse (210200233), we get a palindrome (332212212233).

The spelling of 332002012000 in words is "three hundred thirty-two billion, two million, twelve thousand".