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131122131313 = 23431372713571
BaseRepresentation
bin111101000011101111…
…1001111000101110001
3110112110010102102101211
41322013133033011301
54122014231200223
6140123042200121
712321220504135
oct1720737170561
9415403372354
10131122131313
115067702aa88
12214b4653041
13c498503a64
1464bc5293c5
15362661bd0d
hex1e877cf171

131122131313 has 32 divisors (see below), whose sum is σ = 141586993152. Its totient is φ = 121127529600.

The previous prime is 131122131293. The next prime is 131122131317. The reversal of 131122131313 is 313131221131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131122131313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131122131317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36716818 + ... + 36720388.

It is an arithmetic number, because the mean of its divisors is an integer number (4424593536).

Almost surely, 2131122131313 is an apocalyptic number.

It is an amenable number.

131122131313 is a deficient number, since it is larger than the sum of its proper divisors (10464861839).

131122131313 is a wasteful number, since it uses less digits than its factorization.

131122131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045.

The product of its digits is 324, while the sum is 22.

Adding to 131122131313 its reverse (313131221131), we get a palindrome (444253352444).

The spelling of 131122131313 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 23 43 137 271 989 3151 3571 5891 6233 11653 37127 82133 135493 153553 268019 489227 853921 967741 1596461 3531719 11252221 21036761 22258043 36718603 41612863 132580517 483845503 957095849 3049351891 5700962231 131122131313