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131112122301 = 3237393730097
BaseRepresentation
bin111101000011011100…
…1000011011110111101
3110112102102120220121200
41322012321003132331
54122004200403201
6140122043450113
712321036436266
oct1720671033675
9415372526550
10131112122301
1150671414076
12214b1226939
13c49640b074
1464bb08196d
1536257e1386
hex1e86e437bd

131112122301 has 12 divisors (see below), whose sum is σ = 194502668412. Its totient is φ = 85045700736.

The previous prime is 131112122287. The next prime is 131112122321. The reversal of 131112122301 is 103221211131.

131112122301 is a `hidden beast` number, since 1 + 311 + 121 + 2 + 230 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81002852100 + 50109270201 = 284610^2 + 223851^2 .

It is not a de Polignac number, because 131112122301 - 211 = 131112120253 is a prime.

It is a super-2 number, since 2×1311121223012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112122321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196864716 + ... + 196865381.

It is an arithmetic number, because the mean of its divisors is an integer number (16208555701).

Almost surely, 2131112122301 is an apocalyptic number.

It is an amenable number.

131112122301 is a deficient number, since it is larger than the sum of its proper divisors (63390546111).

131112122301 is a wasteful number, since it uses less digits than its factorization.

131112122301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393730140 (or 393730137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131112122301 its reverse (103221211131), we get a palindrome (234333333432).

The spelling of 131112122301 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 3 9 37 111 333 393730097 1181190291 3543570873 14568013589 43704040767 131112122301