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133310144 = 2611189361
BaseRepresentation
bin1111111001000…
…10011011000000
3100021211212010202
413330202123000
5233111411034
621121144332
73206055212
oct774423300
9307755122
10133310144
1169282980
123878b0a8
1321807356
14139c25b2
15ba8447e
hex7f226c0

133310144 has 28 divisors (see below), whose sum is σ = 288587688. Its totient is φ = 60595200.

The previous prime is 133310083. The next prime is 133310159. The reversal of 133310144 is 441013331.

133310144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 93977 + ... + 95384.

Almost surely, 2133310144 is an apocalyptic number.

It is an amenable number.

133310144 is an abundant number, since it is smaller than the sum of its proper divisors (155277544).

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

133310144 is a wasteful number, since it uses less digits than its factorization.

133310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189384 (or 189374 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 133310144 is about 11546.0012125411. The cubic root of 133310144 is about 510.8433362038.

Adding to 133310144 its reverse (441013331), we get a palindrome (574323475).

The spelling of 133310144 in words is "one hundred thirty-three million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 189361 378722 757444 1514888 2082971 3029776 4165942 6059552 8331884 12119104 16663768 33327536 66655072 133310144