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133231020000 = 2535413170809
BaseRepresentation
bin111110000010100110…
…0000000011111100000
3110201220002200001211020
41330011030000133200
54140324120120000
6141112215045440
712424405661511
oct1740514003740
9421802601736
10133231020000
115155948a2a1
12219a2970880
13c7433b46a0
14663c64aa08
1536eb83cba0
hex1f053007e0

133231020000 has 240 divisors, whose sum is σ = 470644408080. Its totient is φ = 32795136000.

The previous prime is 133231019981. The next prime is 133231020053. The reversal of 133231020000 is 20132331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 694596 + ... + 865404.

It is an arithmetic number, because the mean of its divisors is an integer number (1961018367).

Almost surely, 2133231020000 is an apocalyptic number.

133231020000 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 133231020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235322204040).

133231020000 is an abundant number, since it is smaller than the sum of its proper divisors (337413388080).

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

133231020000 is a wasteful number, since it uses less digits than its factorization.

133231020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170855 (or 170832 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 133231020000 its reverse (20132331), we get a palindrome (133251152331).

The spelling of 133231020000 in words is "one hundred thirty-three billion, two hundred thirty-one million, twenty thousand".