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133120213200000 = 2732551337591303
BaseRepresentation
bin11110010001001001110111…
…000001010010110010000000
3122110100011112112121212010200
4132101021313001102302000
5114422020144034400000
61151042325351325200
740016421660253365
oct3621116701226200
9573304475555120
10133120213200000
1139463a68a07374
1212b1b70a080800
13593824a4c89a0
1424c30a485846c
15105cb67858500
hex791277052c80

133120213200000 has 2304 divisors, whose sum is σ = 538959641875200. Its totient is φ = 31317995520000.

The previous prime is 133120213199927. The next prime is 133120213200001. The reversal of 133120213200000 is 2312021331.

133120213200000 is a `hidden beast` number, since 1 + 331 + 202 + 132 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133120213200001) 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 287 ways as a sum of consecutive naturals, for example, 102164399349 + ... + 102164400651.

It is an arithmetic number, because the mean of its divisors is an integer number (233923455675).

Almost surely, 2133120213200000 is an apocalyptic number.

133120213200000 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 133120213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269479820937600).

133120213200000 is an abundant number, since it is smaller than the sum of its proper divisors (405839428675200).

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

133120213200000 is a wasteful number, since it uses less digits than its factorization.

133120213200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1422 counting only the distinct ones).

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

Adding to 133120213200000 its reverse (2312021331), we get a palindrome (133122525221331).

The spelling of 133120213200000 in words is "one hundred thirty-three trillion, one hundred twenty billion, two hundred thirteen million, two hundred thousand".