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13200000132000 = 2535311175882353
BaseRepresentation
bin1100000000010101110101…
…0100011010001110100000
31201201220111201000220211210
43000011131110122032200
53212232100013211000
644023555113310120
72531445210565263
oct300053524321640
951656451026753
1013200000132000
11422a0a7a51090
1215922b9405340
137499a70226a6
14338c5213ccda
1517d567b35350
hexc015d51a3a0

13200000132000 has 384 divisors, whose sum is σ = 49949373696768. Its totient is φ = 3011764224000.

The previous prime is 13200000131987. The next prime is 13200000132013. The reversal of 13200000132000 is 23100000231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13200000131987) and next prime (13200000132013).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 697177 + ... + 5185176.

It is an arithmetic number, because the mean of its divisors is an integer number (130076494002).

Almost surely, 213200000132000 is an apocalyptic number.

13200000132000 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 13200000132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24974686848384).

13200000132000 is an abundant number, since it is smaller than the sum of its proper divisors (36749373564768).

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

13200000132000 is a wasteful number, since it uses less digits than its factorization.

13200000132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882409 (or 5882391 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13200000132000 its reverse (23100000231), we get a palindrome (13223100132231).

It can be divided in two parts, 13200000 and 132000, that multiplied together give a square (1742400000000 = 13200002).

The spelling of 13200000132000 in words is "thirteen trillion, two hundred billion, one hundred thirty-two thousand".