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133023321000 = 23325335714139
BaseRepresentation
bin111101111100011001…
…1101100101110101000
3110201100121211212100200
41323320303230232220
54134412432233000
6141035435232200
712416304400203
oct1737063545650
9421317755320
10133023321000
1151462218a29
12219452a8660
13c70c362c7b
14661cc2293a
1536d84b2500
hex1ef8cecba8

133023321000 has 192 divisors, whose sum is σ = 449853393600. Its totient is φ = 35454384000.

The previous prime is 133023320957. The next prime is 133023321017. The reversal of 133023321000 is 123320331.

133023321000 is a `hidden beast` number, since 1 + 330 + 2 + 332 + 1 + 0 + 0 + 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 47 ways as a sum of consecutive naturals, for example, 32136931 + ... + 32141069.

It is an arithmetic number, because the mean of its divisors is an integer number (2342986425).

Almost surely, 2133023321000 is an apocalyptic number.

133023321000 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 133023321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224926696800).

133023321000 is an abundant number, since it is smaller than the sum of its proper divisors (316830072600).

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

133023321000 is a wasteful number, since it uses less digits than its factorization.

133023321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133023321000 its reverse (123320331), we get a palindrome (133146641331).

The spelling of 133023321000 in words is "one hundred thirty-three billion, twenty-three million, three hundred twenty-one thousand".