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131023013311 = 19611091103619
BaseRepresentation
bin111101000000110010…
…1001000010110111111
3110112012012220201001201
41322001211020112333
54121313342411221
6140105141520331
712315605144311
oct1720145102677
9415165821051
10131023013311
1150626091183
12214874130a7
13c480b0b858
1464ad2c77b1
15361ca8d891
hex1e819485bf

131023013311 has 16 divisors (see below), whose sum is σ = 140309769600. Its totient is φ = 121979109600.

The previous prime is 131023013249. The next prime is 131023013371. The reversal of 131023013311 is 113310320131.

It is a cyclic number.

It is not a de Polignac number, because 131023013311 - 211 = 131023011263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023013371) 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, 1212660 + ... + 1316278.

It is an arithmetic number, because the mean of its divisors is an integer number (8769360600).

Almost surely, 2131023013311 is an apocalyptic number.

131023013311 is a deficient number, since it is larger than the sum of its proper divisors (9286756289).

131023013311 is a wasteful number, since it uses less digits than its factorization.

131023013311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104790.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131023013311 its reverse (113310320131), we get a palindrome (244333333442).

The spelling of 131023013311 in words is "one hundred thirty-one billion, twenty-three million, thirteen thousand, three hundred eleven".

Divisors: 1 19 61 1091 1159 20729 66551 103619 1264469 1968761 6320759 113048329 120094421 2147918251 6895948069 131023013311