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133542101 = 7211247759
BaseRepresentation
bin1111111010110…
…11000011010101
3100022021122022202
413331123003111
5233141321401
621130134245
73211042400
oct775330325
9308248282
10133542101
1169421180
1238881385
1321888ac4
1413a42d37
15bacd06b
hex7f5b0d5

133542101 has 12 divisors (see below), whose sum is σ = 169467840. Its totient is φ = 104058360.

The previous prime is 133542077. The next prime is 133542107. The reversal of 133542101 is 101245331.

It is not a de Polignac number, because 133542101 - 222 = 129347797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133542107) 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, 123341 + ... + 124418.

It is an arithmetic number, because the mean of its divisors is an integer number (14122320).

Almost surely, 2133542101 is an apocalyptic number.

133542101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133542101 is a deficient number, since it is larger than the sum of its proper divisors (35925739).

133542101 is a wasteful number, since it uses less digits than its factorization.

133542101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247784 (or 247777 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 133542101 is about 11556.0417531264. The cubic root of 133542101 is about 511.1394502753.

Adding to 133542101 its reverse (101245331), we get a palindrome (234787432).

The spelling of 133542101 in words is "one hundred thirty-three million, five hundred forty-two thousand, one hundred one".

Divisors: 1 7 11 49 77 539 247759 1734313 2725349 12140191 19077443 133542101