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131410304233 = 1383891204969
BaseRepresentation
bin111101001100010101…
…0100001110011101001
3110120012012200010022221
41322120222201303221
54123112014213413
6140211414514041
712331320104335
oct1723052416351
9416165603287
10131410304233
115080476661a
1221575065921
13c513120490
1465089007c5
153641a9168d
hex1e98aa1ce9

131410304233 has 8 divisors (see below), whose sum is σ = 141535776200. Its totient is φ = 121287259008.

The previous prime is 131410304177. The next prime is 131410304239. The reversal of 131410304233 is 332403014131.

It can be written as a sum of positive squares in 4 ways, for example, as 26105511184 + 105304793049 = 161572^2 + 324507^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131410304233 - 213 = 131410296041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131410304198 and 131410304207.

It is not an unprimeable number, because it can be changed into a prime (131410304239) 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 7 ways as a sum of consecutive naturals, for example, 493428 + ... + 711541.

It is an arithmetic number, because the mean of its divisors is an integer number (17691972025).

Almost surely, 2131410304233 is an apocalyptic number.

131410304233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131410304233 is a deficient number, since it is larger than the sum of its proper divisors (10125471967).

131410304233 is a wasteful number, since it uses less digits than its factorization.

131410304233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213371.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 131410304233 its reverse (332403014131), we get a palindrome (463813318364).

The spelling of 131410304233 in words is "one hundred thirty-one billion, four hundred ten million, three hundred four thousand, two hundred thirty-three".

Divisors: 1 13 8389 109057 1204969 15664597 10108484941 131410304233