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13333300000020 = 22325711131937105263
BaseRepresentation
bin1100001000000110011010…
…0111000011010100010100
31202012122120121020211101200
43002001212213003110110
53221423044300000040
644205122232152500
72544204414015150
oct302014647032424
952178517224350
1013333300000020
114280691284970
1215b40bb238730
1375942b761440
1434149998c060
15181c6a522630
hexc20669c3514

13333300000020 has 1152 divisors, whose sum is σ = 58706389647360. Its totient is φ = 2357329858560.

The previous prime is 13333299999977. The next prime is 13333300000049. The reversal of 13333300000020 is 2000000333331.

13333300000020 is a `hidden beast` number, since 1 + 333 + 330 + 0 + 0 + 0 + 0 + 0 + 2 + 0 = 666.

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 = 13333299999939 and 13333300000002.

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 383 ways as a sum of consecutive naturals, for example, 126613909 + ... + 126719171.

It is an arithmetic number, because the mean of its divisors is an integer number (50960407680).

Almost surely, 213333300000020 is an apocalyptic number.

13333300000020 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 13333300000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29353194823680).

13333300000020 is an abundant number, since it is smaller than the sum of its proper divisors (45373089647340).

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

13333300000020 is a wasteful number, since it uses less digits than its factorization.

13333300000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105365 (or 105360 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13333300000020 its reverse (2000000333331), we get a palindrome (15333300333351).

The spelling of 13333300000020 in words is "thirteen trillion, three hundred thirty-three billion, three hundred million, twenty", and thus it is an aban number.