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131120000133 = 3232831967103
BaseRepresentation
bin111101000011101011…
…1000110110010000101
3110112102222102010222020
41322013113012302011
54122013210001013
6140122524353353
712321163416603
oct1720727066205
9415388363866
10131120000133
1150675904881
12214b39a5859
13c497c389c5
1464bc132873
15362634a623
hex1e875c6c85

131120000133 has 16 divisors (see below), whose sum is σ = 182436986880. Its totient is φ = 83608555184.

The previous prime is 131120000107. The next prime is 131120000171. The reversal of 131120000133 is 331000021131.

It is a cyclic number.

It is not a de Polignac number, because 131120000133 - 26 = 131120000069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120000173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920460 + ... + 1987562.

It is an arithmetic number, because the mean of its divisors is an integer number (11402311680).

Almost surely, 2131120000133 is an apocalyptic number.

It is an amenable number.

131120000133 is a deficient number, since it is larger than the sum of its proper divisors (51316986747).

131120000133 is a wasteful number, since it uses less digits than its factorization.

131120000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95448.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131120000133 its reverse (331000021131), we get a palindrome (462120021264).

The spelling of 131120000133 in words is "one hundred thirty-one billion, one hundred twenty million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 23 69 28319 67103 84957 201309 651337 1543369 1954011 4630107 1900289857 5700869571 43706666711 131120000133