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12332021001300 = 2232527111337369961
BaseRepresentation
bin1011001101110100010110…
…1110110010110001010100
31121122221002202011112111200
42303131011232302301110
53104021434334020200
642121130252232500
72411646655654650
oct263350556626124
947587082145450
1012332021001300
113a24a873a6340
121472040a6b730
136b5b9b501a30
14308c3172da60
15165bb6868800
hexb3745bb2c54

12332021001300 has 864 divisors, whose sum is σ = 53301946623744. Its totient is φ = 2301447168000.

The previous prime is 12332021001283. The next prime is 12332021001317. The reversal of 12332021001300 is 310012023321.

12332021001300 is a `hidden beast` number, since 1 + 2 + 3 + 320 + 210 + 0 + 130 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12332021001283) and next prime (12332021001317).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33148320 + ... + 33518280.

Almost surely, 212332021001300 is an apocalyptic number.

12332021001300 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 12332021001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650973311872).

12332021001300 is an abundant number, since it is smaller than the sum of its proper divisors (40969925622444).

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

12332021001300 is a wasteful number, since it uses less digits than its factorization.

12332021001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370049 (or 370039 counting only the distinct ones).

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

Adding to 12332021001300 its reverse (310012023321), we get a palindrome (12642033024621).

The spelling of 12332021001300 in words is "twelve trillion, three hundred thirty-two billion, twenty-one million, one thousand, three hundred".