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131014344431 = 1759731789349
BaseRepresentation
bin111101000000100010…
…0000011111011101111
3110112011121121021121002
41322001010003323233
54121304133010211
6140104232030515
712315441360515
oct1720104037357
9415147537532
10131014344431
1150621200113
122148453243b
13c47c094b39
1464ac0ac4b5
15361be2a03b
hex1e81103eef

131014344431 has 16 divisors (see below), whose sum is σ = 143004852000. Its totient is φ = 119557075968.

The previous prime is 131014344413. The next prime is 131014344449. The reversal of 131014344431 is 134443410131.

It is an interprime number because it is at equal distance from previous prime (131014344413) and next prime (131014344449).

It is a cyclic number.

It is not a de Polignac number, because 131014344431 - 214 = 131014328047 is a prime.

It is a super-2 number, since 2×1310143444312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131014344394 and 131014344403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131014344931) 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, 821456 + ... + 967893.

It is an arithmetic number, because the mean of its divisors is an integer number (8937803250).

Almost surely, 2131014344431 is an apocalyptic number.

131014344431 is a deficient number, since it is larger than the sum of its proper divisors (11990507569).

131014344431 is a wasteful number, since it uses less digits than its factorization.

131014344431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789498.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 131014344431 its reverse (134443410131), we get a palindrome (265457754562).

The spelling of 131014344431 in words is "one hundred thirty-one billion, fourteen million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 17 59 73 1003 1241 4307 73219 1789349 30418933 105571591 130622477 1794717047 2220582109 7706726143 131014344431