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2032021112000 = 265311231003963
BaseRepresentation
bin11101100100011101111…
…001011000010011000000
321012021000001012212210012
4131210131321120103000
5231243034401041000
64153255252324052
7266544243315515
oct35443571302300
97167001185705
102032021112000
11713858a41210
1228999b913628
13119807586119
14704c94cb30c
1537cce289735
hex1d91de584c0

2032021112000 has 224 divisors, whose sum is σ = 5728474013184. Its totient is φ = 706789248000.

The previous prime is 2032021111997. The next prime is 2032021112057. The reversal of 2032021112000 is 2111202302.

It is a happy number.

It is a super-2 number, since 2×20320211120002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 1522019 + ... + 2525981.

Almost surely, 22032021112000 is an apocalyptic number.

2032021112000 is a gapful number since it is divisible by the number (20) 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 2032021112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864237006592).

2032021112000 is an abundant number, since it is smaller than the sum of its proper divisors (3696452901184).

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

2032021112000 is a wasteful number, since it uses less digits than its factorization.

2032021112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004024 (or 1004004 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2032021112000 its reverse (2111202302), we get a palindrome (2034132314302).

The spelling of 2032021112000 in words is "two trillion, thirty-two billion, twenty-one million, one hundred twelve thousand".