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133321213188 = 22323703367033
BaseRepresentation
bin111110000101010010…
…0000100010100000100
3110202010101101100121200
41330022210010110010
54141020212310223
6141125200142500
712426552420432
oct1741244042404
9422111340550
10133321213188
11515a5392819
1221a09007a30
13c758ca3537
14664a607d52
153704706a43
hex1f0a904504

133321213188 has 18 divisors (see below), whose sum is σ = 337006400094. Its totient is φ = 44440404384.

The previous prime is 133321213171. The next prime is 133321213189. The reversal of 133321213188 is 881312123331.

It is a happy number.

133321213188 is a `hidden beast` number, since 1 + 3 + 332 + 1 + 2 + 1 + 318 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72796356864 + 60524856324 = 269808^2 + 246018^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3703367033 = 133321213188 / (1 + 3 + 3 + 3 + 2 + 1 + 2 + 1 + 3 + 1 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (133321213189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1851683481 + ... + 1851683552.

It is an arithmetic number, because the mean of its divisors is an integer number (18722577783).

Almost surely, 2133321213188 is an apocalyptic number.

133321213188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133321213188 is an abundant number, since it is smaller than the sum of its proper divisors (203685186906).

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

133321213188 is a wasteful number, since it uses less digits than its factorization.

133321213188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703367043 (or 3703367038 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 133321213188 in words is "one hundred thirty-three billion, three hundred twenty-one million, two hundred thirteen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3703367033 7406734066 11110101099 14813468132 22220202198 33330303297 44440404396 66660606594 133321213188