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231223002303312 = 24324127113453723
BaseRepresentation
bin110100100100101111001100…
…111010101000101101010000
31010022200200222120221000011200
4310210233030322220231100
5220301324202042201222
62135434214132311200
766463211356041615
oct6444571472505520
91108620876830150
10231223002303312
1167747140913418
1221b24697772500
139c0330a6a0496
14411537842650c
151bae99316aeac
hexd24bccea8b50

231223002303312 has 180 divisors, whose sum is σ = 672613119371232. Its totient is φ = 74135389708800.

The previous prime is 231223002303311. The next prime is 231223002303379. The reversal of 231223002303312 is 213303200322132.

231223002303312 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 2 + 300 + 23 + 0 + 331 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231223002303311) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10459683 + ... + 23913405.

Almost surely, 2231223002303312 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 231223002303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336306559685616).

231223002303312 is an abundant number, since it is smaller than the sum of its proper divisors (441390117067920).

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

231223002303312 is a wasteful number, since it uses less digits than its factorization.

231223002303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453890 (or 13453840 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231223002303312 its reverse (213303200322132), we get a palindrome (444526202625444).

The spelling of 231223002303312 in words is "two hundred thirty-one trillion, two hundred twenty-three billion, two million, three hundred three thousand, three hundred twelve".