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133220200032 = 25321150340213
BaseRepresentation
bin111110000010010001…
…0101110111001100000
3110201212100022100121200
41330010202232321200
54140313332400112
6141111151121200
712424215005433
oct1740442567140
9421770270550
10133220200032
115155336a077
122199b213200
13c74109683a
14663b03181a
1536ea901cdc
hex1f048aee60

133220200032 has 72 divisors (see below), whose sum is σ = 378887300064. Its totient is φ = 44401768704.

The previous prime is 133220199989. The next prime is 133220200037. The reversal of 133220200032 is 230002022331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 133220199978 and 133220200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220200037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3292758 + ... + 3332970.

It is an arithmetic number, because the mean of its divisors is an integer number (5262323612).

Almost surely, 2133220200032 is an apocalyptic number.

133220200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133220200032 is an abundant number, since it is smaller than the sum of its proper divisors (245667100032).

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

133220200032 is a wasteful number, since it uses less digits than its factorization.

133220200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51732 (or 51721 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133220200032 its reverse (230002022331), we get a palindrome (363222222363).

The spelling of 133220200032 in words is "one hundred thirty-three billion, two hundred twenty million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11503 23006 34509 40213 46012 69018 80426 92024 103527 120639 138036 160852 184048 207054 241278 276072 321704 361917 368096 414108 482556 552144 643408 723834 828216 965112 1104288 1286816 1447668 1656432 1930224 2895336 3312864 3860448 5790672 11581344 462570139 925140278 1387710417 1850280556 2775420834 3700561112 4163131251 5550841668 7401122224 8326262502 11101683336 14802244448 16652525004 22203366672 33305050008 44406733344 66610100016 133220200032