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131433511305 = 3529302146003
BaseRepresentation
bin111101001101000001…
…1000011100110001001
3110120020211100011110010
41322122003003212021
54123133434330210
6140214004142133
712332021261415
oct1723203034611
9416224304403
10131433511305
1150816877418
1221580997949
13c517b87585
14650ba21d45
153643b27920
hex1e9a0c3989

131433511305 has 16 divisors (see below), whose sum is σ = 217545122880. Its totient is φ = 67680704448.

The previous prime is 131433511301. The next prime is 131433511361. The reversal of 131433511305 is 503115334131.

It is not a de Polignac number, because 131433511305 - 22 = 131433511301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131433511301) 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 15 ways as a sum of consecutive naturals, for example, 151072567 + ... + 151073436.

It is an arithmetic number, because the mean of its divisors is an integer number (13596570180).

Almost surely, 2131433511305 is an apocalyptic number.

131433511305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131433511305 is a deficient number, since it is larger than the sum of its proper divisors (86111611575).

131433511305 is a wasteful number, since it uses less digits than its factorization.

131433511305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302146040.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 131433511305 its reverse (503115334131), we get a palindrome (634548845436).

The spelling of 131433511305 in words is "one hundred thirty-one billion, four hundred thirty-three million, five hundred eleven thousand, three hundred five".

Divisors: 1 3 5 15 29 87 145 435 302146003 906438009 1510730015 4532190045 8762234087 26286702261 43811170435 131433511305