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131311313111 = 11101118192001
BaseRepresentation
bin111101001001011000…
…0111010000011010111
3110112221022101212001002
41322102300322003113
54122411144004421
6140153521053515
712326005513436
oct1722260720327
9415838355032
10131311313111
11507638a4080
1221547a8729b
13c4c8770c54
1464d96d311d
15363803ab0b
hex1e92c3a0d7

131311313111 has 8 divisors (see below), whose sum is σ = 144667010448. Its totient is φ = 118192000000.

The previous prime is 131311313083. The next prime is 131311313137. The reversal of 131311313111 is 111313113131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131311313111 - 26 = 131311313047 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 (131311313171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59094890 + ... + 59097111.

It is an arithmetic number, because the mean of its divisors is an integer number (18083376306).

Almost surely, 2131311313111 is an apocalyptic number.

131311313111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131311313111 is a deficient number, since it is larger than the sum of its proper divisors (13355697337).

131311313111 is a wasteful number, since it uses less digits than its factorization.

131311313111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118192113.

The product of its digits is 81, while the sum is 20.

Adding to 131311313111 its reverse (111313113131), we get a palindrome (242624426242).

It can be divided in two parts, 1313113131 and 11, that multiplied together give a palindrome (14444244441).

The spelling of 131311313111 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred thirteen thousand, one hundred eleven".

Divisors: 1 11 101 1111 118192001 1300112011 11937392101 131311313111