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131033301 = 3723312693
BaseRepresentation
bin1111100111101…
…10100011010101
3100010120011220020
413303312203111
5232021031201
621000255353
73150523200
oct763664325
9303504806
10131033301
1167a68293
1237a71559
13211babc9
141358c937
15b784a36
hex7cf68d5

131033301 has 24 divisors (see below), whose sum is σ = 203925024. Its totient is φ = 74622240.

The previous prime is 131033267. The next prime is 131033327. The reversal of 131033301 is 103330131.

It is not a de Polignac number, because 131033301 - 26 = 131033237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47311 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (8496876).

Almost surely, 2131033301 is an apocalyptic number.

It is an amenable number.

131033301 is a deficient number, since it is larger than the sum of its proper divisors (72891723).

131033301 is a wasteful number, since it uses less digits than its factorization.

131033301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 131033301 is about 11446.9778107586. The cubic root of 131033301 is about 507.9183391688.

Adding to 131033301 its reverse (103330131), we get a palindrome (234363432).

The spelling of 131033301 in words is "one hundred thirty-one million, thirty-three thousand, three hundred one".

Divisors: 1 3 7 21 49 147 331 993 2317 2693 6951 8079 16219 18851 48657 56553 131957 395871 891383 2674149 6239681 18719043 43677767 131033301