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131433420315 = 3553787920983
BaseRepresentation
bin111101001101000001…
…0101101011000011011
3110120020211011112122010
41322122002231120123
54123133423422230
6140214002201003
712332020432221
oct1723202553033
9416224145563
10131433420315
115081681501a
1221580953163
13c517b55032
14650b9dab11
153643b0a9b0
hex1e9a0ad61b

131433420315 has 32 divisors (see below), whose sum is σ = 214298680320. Its totient is φ = 68763217536.

The previous prime is 131433420277. The next prime is 131433420319. The reversal of 131433420315 is 513024334131.

It is a happy number.

It is not a de Polignac number, because 131433420315 - 211 = 131433418267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131433420319) 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 31 ways as a sum of consecutive naturals, for example, 6253314 + ... + 6274296.

It is an arithmetic number, because the mean of its divisors is an integer number (6696833760).

Almost surely, 2131433420315 is an apocalyptic number.

131433420315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131433420315 is a deficient number, since it is larger than the sum of its proper divisors (82865260005).

131433420315 is a wasteful number, since it uses less digits than its factorization.

131433420315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28923.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 131433420315 its reverse (513024334131), we get a palindrome (644457754446).

The spelling of 131433420315 in words is "one hundred thirty-one billion, four hundred thirty-three million, four hundred twenty thousand, three hundred fifteen".

Divisors: 1 3 5 15 53 159 265 795 7879 20983 23637 39395 62949 104915 118185 314745 417587 1112099 1252761 2087935 3336297 5560495 6263805 16681485 165325057 495975171 826625285 2479875855 8762228021 26286684063 43811140105 131433420315