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131131233135 = 3257259469947
BaseRepresentation
bin111101000100000000…
…1111101001101101111
3110112110202112211202100
41322020001331031233
54122024043430020
6140124005230143
712321361043100
oct1721001751557
9415422484670
10131131233135
1150681187351
12214b7702353
13c49a36c856
1464bd8183a7
153627318a90
hex1e8807d36f

131131233135 has 36 divisors (see below), whose sum is σ = 264403388808. Its totient is φ = 59945705568.

The previous prime is 131131233109. The next prime is 131131233161. The reversal of 131131233135 is 531332131131.

It is a happy number.

131131233135 is a `hidden beast` number, since 1 + 3 + 11 + 312 + 331 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (131131233109) and next prime (131131233161).

It is not a de Polignac number, because 131131233135 - 212 = 131131229039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131131233099 and 131131233108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29732769 + ... + 29737178.

It is an arithmetic number, because the mean of its divisors is an integer number (7344538578).

Almost surely, 2131131233135 is an apocalyptic number.

131131233135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131131233135 is an abundant number, since it is smaller than the sum of its proper divisors (133272155673).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131131233135 is a wasteful number, since it uses less digits than its factorization.

131131233135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59469972 (or 59469962 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

Adding to 131131233135 its reverse (531332131131), we get a palindrome (662463364266).

The spelling of 131131233135 in words is "one hundred thirty-one billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 59469947 178409841 297349735 416289629 535229523 892049205 1248868887 2081448145 2676147615 2914027403 3746606661 6244344435 8742082209 14570137015 18733033305 26226246627 43710411045 131131233135