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131003743 = 13103227431
BaseRepresentation
bin1111100111011…
…11010101011111
3100010111200100111
413303233111133
5232014104433
620555510451
73150341053
oct763572537
9303450314
10131003743
1167a48062
1237a58427
13211aa610
1413581c63
15b77adcd
hex7cef55f

131003743 has 16 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 118948320.

The previous prime is 131003729. The next prime is 131003749. The reversal of 131003743 is 347300131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131003743 - 217 = 130872671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303738 + ... + 304168.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2131003743 is an apocalyptic number.

131003743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131003743 is a deficient number, since it is larger than the sum of its proper divisors (12406433).

131003743 is a wasteful number, since it uses less digits than its factorization.

131003743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 131003743 is about 11445.6866548058. The cubic root of 131003743 is about 507.8801448595.

Adding to 131003743 its reverse (347300131), we get a palindrome (478303874).

The spelling of 131003743 in words is "one hundred thirty-one million, three thousand, seven hundred forty-three".

Divisors: 1 13 103 227 431 1339 2951 5603 23381 44393 97837 303953 577109 1271881 10077211 131003743