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131123010311 = 1935399719609
BaseRepresentation
bin111101000011110001…
…0100101101100000111
3110112110012002002011022
41322013202211230013
54122014442312221
6140123113101355
712321231124616
oct1720742455407
9415405062138
10131123010311
1150677580427
12214b49b785b
13c498750b87
1464bc6b787d
1536267424ab
hex1e878a5b07

131123010311 has 16 divisors (see below), whose sum is σ = 138561122400. Its totient is φ = 123739342848.

The previous prime is 131123010307. The next prime is 131123010313. The reversal of 131123010311 is 113010321131.

It is not a de Polignac number, because 131123010311 - 22 = 131123010307 is a prime.

It is a super-2 number, since 2×1311230103112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131123010311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123010313) 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 15 ways as a sum of consecutive naturals, for example, 6677075 + ... + 6696683.

It is an arithmetic number, because the mean of its divisors is an integer number (8660070150).

Almost surely, 2131123010311 is an apocalyptic number.

131123010311 is a deficient number, since it is larger than the sum of its proper divisors (7438112089).

131123010311 is a wasteful number, since it uses less digits than its factorization.

131123010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131123010311 its reverse (113010321131), we get a palindrome (244133331442).

The spelling of 131123010311 in words is "one hundred thirty-one billion, one hundred twenty-three million, ten thousand, three hundred eleven".

Divisors: 1 19 353 997 6707 18943 19609 351941 372571 6686879 6921977 19550173 131517563 371453287 6901211069 131123010311