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133030016 = 277148471
BaseRepresentation
bin1111110110111…
…10000010000000
3100021022121212122
413323132002000
5233023430031
621111143412
73203510420
oct773360200
9307277778
10133030016
1169101469
1238674b68
13217399b2
141394c480
15ba2b47b
hex7ede080

133030016 has 32 divisors (see below), whose sum is σ = 302882880. Its totient is φ = 57012480.

The previous prime is 133029979. The next prime is 133030019. The reversal of 133030016 is 610030331.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 133029976 and 133030003.

It is not an unprimeable number, because it can be changed into a prime (133030019) 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 3 ways as a sum of consecutive naturals, for example, 73340 + ... + 75131.

It is an arithmetic number, because the mean of its divisors is an integer number (9465090).

Almost surely, 2133030016 is an apocalyptic number.

133030016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133030016 is an abundant number, since it is smaller than the sum of its proper divisors (169852864).

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

133030016 is an equidigital number, since it uses as much as digits as its factorization.

133030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148492 (or 148480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133030016 is about 11533.8638798973. The cubic root of 133030016 is about 510.4852692449.

Adding to 133030016 its reverse (610030331), we get a palindrome (743060347).

The spelling of 133030016 in words is "one hundred thirty-three million, thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 148471 296942 593884 1039297 1187768 2078594 2375536 4157188 4751072 8314376 9502144 16628752 19004288 33257504 66515008 133030016