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13202113032000 = 263253241760841
BaseRepresentation
bin1100000000011101101101…
…0000011110111101000000
31201202002221221211100202100
43000013123100132331000
53212300411414011000
644024544512150400
72531551445130504
oct300073320367500
951662857740670
1013202113032000
11422aa916a0132
1215927a8b38400
13749c529a9089
14338db29c6304
1517d63d399a00
hexc01db41ef40

13202113032000 has 336 divisors, whose sum is σ = 47422180160784. Its totient is φ = 3505950720000.

The previous prime is 13202113031981. The next prime is 13202113032001. The reversal of 13202113032000 is 23031120231.

13202113032000 is a `hidden beast` number, since 1 + 320 + 21 + 1 + 3 + 0 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5639789030976 + 7562324001024 = 2374824^2 + 2749968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202113032001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16971580 + ... + 17732420.

Almost surely, 213202113032000 is an apocalyptic number.

13202113032000 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 13202113032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711090080392).

13202113032000 is an abundant number, since it is smaller than the sum of its proper divisors (34220067128784).

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

13202113032000 is a wasteful number, since it uses less digits than its factorization.

13202113032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761115 (or 761092 counting only the distinct ones).

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

Adding to 13202113032000 its reverse (23031120231), we get a palindrome (13225144152231).

The spelling of 13202113032000 in words is "thirteen trillion, two hundred two billion, one hundred thirteen million, thirty-two thousand".