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13232320101000 = 2332537211133753107
BaseRepresentation
bin1100000010001110001110…
…1111010011101010001000
31201211222221010202110101200
43000203203233103222020
53213244242421213000
644050502142344200
72534001141025200
oct300434357235210
951758833673350
1013232320101000
114241882805170
12159861928b060
1374ca57c31bc0
1433a63a733400
1517e30a277500
hexc08e3bd3a88

13232320101000 has 4608 divisors, whose sum is σ = 64557166302720. Its totient is φ = 2400233472000.

The previous prime is 13232320100983. The next prime is 13232320101043. The reversal of 13232320101000 is 10102323231.

13232320101000 is a `hidden beast` number, since 1 + 3 + 232 + 320 + 10 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 123666542947 + ... + 123666543053.

It is an arithmetic number, because the mean of its divisors is an integer number (14009801715).

Almost surely, 213232320101000 is an apocalyptic number.

13232320101000 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 13232320101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32278583151360).

13232320101000 is an abundant number, since it is smaller than the sum of its proper divisors (51324846201720).

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

13232320101000 is a wasteful number, since it uses less digits than its factorization.

13232320101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

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

Adding to 13232320101000 its reverse (10102323231), we get a palindrome (13242422424231).

The spelling of 13232320101000 in words is "thirteen trillion, two hundred thirty-two billion, three hundred twenty million, one hundred one thousand".