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13132223232000 = 211353103316553
BaseRepresentation
bin1011111100011001010110…
…0000000011100000000000
31201111102120012211122212020
42333012111200003200000
53210124243121411000
643532505435201440
72523525506464605
oct277062540034000
951442505748766
1013132223232000
114203387726a44
121581142ba6280
13743495336b32
143358628986ac
1517b8ec7a5ba0
hexbf195803800

13132223232000 has 384 divisors, whose sum is σ = 43738308694080. Its totient is φ = 3498324787200.

The previous prime is 13132223231987. The next prime is 13132223232019. The reversal of 13132223232000 is 23232223131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793335724 + ... + 793352276.

Almost surely, 213132223232000 is an apocalyptic number.

13132223232000 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 13132223232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21869154347040).

13132223232000 is an abundant number, since it is smaller than the sum of its proper divisors (30606085462080).

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

13132223232000 is a wasteful number, since it uses less digits than its factorization.

13132223232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626 (or 17596 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13132223232000 its reverse (23232223131), we get a palindrome (13155455455131).

The spelling of 13132223232000 in words is "thirteen trillion, one hundred thirty-two billion, two hundred twenty-three million, two hundred thirty-two thousand".