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10032012444300 = 22352711232820957
BaseRepresentation
bin1001000111111100001010…
…0010011100001010001100
31022112001101012021220210120
42101333002202130022030
52303331030141204200
633200350510504540
72053534422544560
oct221770242341214
938461335256716
1010032012444300
113218609544260
121160330805150
1357a026433c62
142697a29516a0
15125e5058b9a0
hex91fc289c28c

10032012444300 has 432 divisors, whose sum is σ = 37830059887872. Its totient is φ = 1993937932800.

The previous prime is 10032012444299. The next prime is 10032012444331. The reversal of 10032012444300 is 344421023001.

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 143 ways as a sum of consecutive naturals, for example, 11809422 + ... + 12630378.

Almost surely, 210032012444300 is an apocalyptic number.

10032012444300 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 10032012444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915029943936).

10032012444300 is an abundant number, since it is smaller than the sum of its proper divisors (27798047443572).

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

10032012444300 is a wasteful number, since it uses less digits than its factorization.

10032012444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821038 (or 821008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10032012444300 its reverse (344421023001), we get a palindrome (10376433467301).

The spelling of 10032012444300 in words is "ten trillion, thirty-two billion, twelve million, four hundred forty-four thousand, three hundred".