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131003333 = 532149313
BaseRepresentation
bin1111100111011…
…11001111000101
3100010111122210022
413303233033011
5232014101313
620555504525
73150336626
oct763571705
9303448708
10131003333
1167a4781a
1237a58145
13211aa386
1413581a4d
15b77ac08
hex7cef3c5

131003333 has 12 divisors (see below), whose sum is σ = 134847300. Its totient is φ = 127261056.

The previous prime is 131003329. The next prime is 131003351. The reversal of 131003333 is 333300131.

It can be written as a sum of positive squares in 6 ways, for example, as 14730244 + 116273089 = 3838^2 + 10783^2 .

It is not a de Polignac number, because 131003333 - 22 = 131003329 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418385 + ... + 418697.

It is an arithmetic number, because the mean of its divisors is an integer number (11237275).

Almost surely, 2131003333 is an apocalyptic number.

It is an amenable number.

131003333 is a deficient number, since it is larger than the sum of its proper divisors (3843967).

131003333 is an equidigital number, since it uses as much as digits as its factorization.

131003333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 131003333 is about 11445.6687441145. The cubic root of 131003333 is about 507.8796150246.

Adding to 131003333 its reverse (333300131), we get a palindrome (464303464).

The spelling of 131003333 in words is "one hundred thirty-one million, three thousand, three hundred thirty-three".

Divisors: 1 53 149 313 2809 7897 16589 46637 418541 879217 2471761 131003333