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131014633 = 1959731601
BaseRepresentation
bin1111100111100…
…01111111101001
3100010112020021211
413303301333221
5232014432013
621000033121
73150414601
oct763617751
9303466254
10131014633
1167a55262
1237a627a1
13211b2569
1413585c01
15b77e23d
hex7cf1fe9

131014633 has 16 divisors (see below), whose sum is σ = 142257600. Its totient is φ = 120268800.

The previous prime is 131014579. The next prime is 131014687. The reversal of 131014633 is 336410131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131014579) and next prime (131014687).

It is a cyclic number.

It is not a de Polignac number, because 131014633 - 213 = 131006441 is a prime.

It is a super-3 number, since 3×1310146333 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131014133) 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, 81033 + ... + 82633.

It is an arithmetic number, because the mean of its divisors is an integer number (8891100).

Almost surely, 2131014633 is an apocalyptic number.

It is an amenable number.

131014633 is a deficient number, since it is larger than the sum of its proper divisors (11242967).

131014633 is a wasteful number, since it uses less digits than its factorization.

131014633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 131014633 is about 11446.1623699824. The cubic root of 131014633 is about 507.8942173875.

Adding to 131014633 its reverse (336410131), we get a palindrome (467424764).

The spelling of 131014633 in words is "one hundred thirty-one million, fourteen thousand, six hundred thirty-three".

Divisors: 1 19 59 73 1121 1387 1601 4307 30419 81833 94459 116873 1794721 2220587 6895507 131014633