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131133131 = 314230101
BaseRepresentation
bin1111101000011…
…10111011001011
3100010202020211122
413310032323023
5232032230011
621002345455
73151420223
oct764167313
9303666748
10131133131
1168026298
1237abb28b
132122448c
14135b7083
15b7a43db
hex7d0eecb

131133131 has 4 divisors (see below), whose sum is σ = 135363264. Its totient is φ = 126903000.

The previous prime is 131133113. The next prime is 131133179. The reversal of 131133131 is 131331131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 131331131 = 557235783.

It is a cyclic number.

It is not a de Polignac number, because 131133131 - 214 = 131116747 is a prime.

It is a super-3 number, since 3×1311331313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131133181) 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 3 ways as a sum of consecutive naturals, for example, 2115020 + ... + 2115081.

It is an arithmetic number, because the mean of its divisors is an integer number (33840816).

Almost surely, 2131133131 is an apocalyptic number.

131133131 is a deficient number, since it is larger than the sum of its proper divisors (4230133).

131133131 is an equidigital number, since it uses as much as digits as its factorization.

131133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230132.

The product of its digits is 81, while the sum is 17.

The square root of 131133131 is about 11451.3375201327. The cubic root of 131133131 is about 508.0472952329.

Adding to 131133131 its reverse (131331131), we get a palindrome (262464262).

The spelling of 131133131 in words is "one hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 31 4230101 131133131