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131023131123 = 3437118897573
BaseRepresentation
bin111101000000110010…
…1100101000111110011
3110112012020010200200010
41322001211211013303
54121313410143443
6140105144230003
712315606144633
oct1720145450763
9415166120603
10131023131123
1150626161745
122148746b303
13c480b50371
1464ad3186c3
15361cab3733
hex1e819651f3

131023131123 has 32 divisors (see below), whose sum is σ = 181397905920. Its totient is φ = 84060103680.

The previous prime is 131023131089. The next prime is 131023131137. The reversal of 131023131123 is 321131320131.

It is a happy number.

It is not a de Polignac number, because 131023131123 - 217 = 131023000051 is a prime.

It is a super-2 number, since 2×1310231311232 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131023131123.

It is not an unprimeable number, because it can be changed into a prime (131023131223) 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 31 ways as a sum of consecutive naturals, for example, 17297565 + ... + 17305137.

It is an arithmetic number, because the mean of its divisors is an integer number (5668684560).

Almost surely, 2131023131123 is an apocalyptic number.

131023131123 is a deficient number, since it is larger than the sum of its proper divisors (50374774797).

131023131123 is a wasteful number, since it uses less digits than its factorization.

131023131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131023131123 its reverse (321131320131), we get a palindrome (452154451254).

The spelling of 131023131123 in words is "one hundred thirty-one billion, twenty-three million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 43 71 129 213 1889 3053 5667 7573 9159 22719 81227 134119 243681 325639 402357 537683 976917 1613049 5767117 14305397 17301351 23120369 42916191 69361107 615132071 1015683187 1845396213 3047049561 43674377041 131023131123