Search a number
-
+
131112000110 = 25713592442019
BaseRepresentation
bin111101000011011100…
…0100101101001101110
3110112102102100201000002
41322012320211221232
54122004133000420
6140122041104302
712321035420120
oct1720670455156
9415372321002
10131112000110
1150671340293
12214b1188092
13c496397570
1464bb04d210
1536257ba075
hex1e86e25a6e

131112000110 has 64 divisors (see below), whose sum is σ = 295386739200. Its totient is φ = 40791468672.

The previous prime is 131112000091. The next prime is 131112000113. The reversal of 131112000110 is 11000211131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131112000091 and 131112000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112000113) 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, 1167320 + ... + 1274699.

It is an arithmetic number, because the mean of its divisors is an integer number (4615417800).

Almost surely, 2131112000110 is an apocalyptic number.

131112000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131112000110 is an abundant number, since it is smaller than the sum of its proper divisors (164274739090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131112000110 is a wasteful number, since it uses less digits than its factorization.

131112000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442105.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 131112000110 its reverse (11000211131), we get a palindrome (142112211241).

The spelling of 131112000110 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 13 14 26 35 59 65 70 91 118 130 182 295 413 455 590 767 826 910 1534 2065 3835 4130 5369 7670 10738 26845 53690 2442019 4884038 12210095 17094133 24420190 31746247 34188266 63492494 85470665 144079121 158731235 170941330 222223729 288158242 317462470 444447458 720395605 1008553847 1111118645 1440791210 1873028573 2017107694 2222237290 3746057146 5042769235 9365142865 10085538470 13111200011 18730285730 26222400022 65556000055 131112000110