Search a number
-
+
131101313231 = 72329199141101
BaseRepresentation
bin111101000011000111…
…1110100100011001111
3110112101200020202100202
41322012033310203033
54121443414010411
6140121020044115
712320545530050
oct1720617644317
9415350222322
10131101313231
1150666301059
12214a969363b
13c4940c5175
1464b986a727
1536248a883b
hex1e863f48cf

131101313231 has 32 divisors (see below), whose sum is σ = 162549504000. Its totient is φ = 103258108800.

The previous prime is 131101313197. The next prime is 131101313243. The reversal of 131101313231 is 132313101131.

It is a de Polignac number, because none of the positive numbers 2k-131101313231 is a prime.

It is a super-2 number, since 2×1311013132312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101312231) 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, 858581 + ... + 999681.

It is an arithmetic number, because the mean of its divisors is an integer number (5079672000).

Almost surely, 2131101313231 is an apocalyptic number.

131101313231 is a deficient number, since it is larger than the sum of its proper divisors (31448190769).

131101313231 is a wasteful number, since it uses less digits than its factorization.

131101313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141359.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131101313231 its reverse (132313101131), we get a palindrome (263414414362).

The spelling of 131101313231 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 7 23 29 161 199 203 667 1393 4577 4669 5771 32039 40397 132733 141101 929131 987707 3245323 4091929 22717261 28079099 28643503 94114367 196553693 645819277 658800569 814293871 4520734939 5700057097 18728759033 131101313231