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13200000333120 = 263252937103113367
BaseRepresentation
bin1100000000010101110101…
…0101001011010101000000
31201201220111201102010201200
43000011131111023111000
53212232100041124440
644023555121501200
72531445212363526
oct300053525132500
951656451363650
1013200000333120
11422a0a80791a7
1215922b94a1800
137499a70930b3
14338c52192316
1517d567b74c30
hexc015d54b540

13200000333120 has 1344 divisors, whose sum is σ = 49270751262720. Its totient is φ = 3236838506496.

The previous prime is 13200000333109. The next prime is 13200000333137. The reversal of 13200000333120 is 2133300000231.

13200000333120 is a `hidden beast` number, since 1 + 320 + 0 + 0 + 0 + 0 + 33 + 312 + 0 = 666.

It is a super-2 number, since 2×132000003331202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13200000333093 and 13200000333102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35967303177 + ... + 35967303543.

Almost surely, 213200000333120 is an apocalyptic number.

13200000333120 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 13200000333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635375631360).

13200000333120 is an abundant number, since it is smaller than the sum of its proper divisors (36070750929600).

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

13200000333120 is a wasteful number, since it uses less digits than its factorization.

13200000333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13200000333120 its reverse (2133300000231), we get a palindrome (15333300333351).

The spelling of 13200000333120 in words is "thirteen trillion, two hundred billion, three hundred thirty-three thousand, one hundred twenty".