Search a number
-
+
131105234344 = 23737599831091
BaseRepresentation
bin111101000011001111…
…0110001110110101000
3110112101221121222010011
41322012132301312220
54122000414444334
6140121240101304
712320624050630
oct1720636616650
9415357558104
10131105234344
115066853a047
12214aaa64834
13c494b68b56
1464ba1ab6c0
153624dd0564
hex1e867b1da8

131105234344 has 128 divisors (see below), whose sum is σ = 293990860800. Its totient is φ = 53638882560.

The previous prime is 131105234341. The next prime is 131105234413. The reversal of 131105234344 is 443432501131.

It is a super-2 number, since 2×1311052343442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131105234341) 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, 120169239 + ... + 120170329.

It is an arithmetic number, because the mean of its divisors is an integer number (2296803600).

Almost surely, 2131105234344 is an apocalyptic number.

131105234344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131105234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146995430400).

131105234344 is an abundant number, since it is smaller than the sum of its proper divisors (162885626456).

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

131105234344 is a wasteful number, since it uses less digits than its factorization.

131105234344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 131105234344 its reverse (443432501131), we get a palindrome (574537735475).

The spelling of 131105234344 in words is "one hundred thirty-one billion, one hundred five million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 59 74 118 148 236 259 296 413 472 518 826 983 1036 1091 1652 1966 2072 2182 2183 3304 3932 4364 4366 6881 7637 7864 8728 8732 13762 15274 15281 17464 27524 30548 30562 36371 40367 55048 57997 61096 61124 64369 72742 80734 115994 122248 128738 145484 161468 231988 254597 257476 282569 290968 322936 405979 450583 463976 509194 514952 565138 811958 901166 1018388 1072453 1130276 1623916 1802332 2036776 2144906 2145889 2260552 2381653 3247832 3604664 4289812 4291778 4763306 7507171 8579624 8583556 9526612 15014342 15021223 16671571 17167112 19053224 30028684 30042446 33343142 39680761 60057368 60084892 63274727 66686284 79361522 120169784 126549454 133372568 158723044 253098908 277765327 317446088 442923089 506197816 555530654 885846178 1111061308 1771692356 2222122616 2341164899 3543384712 4682329798 9364659596 16388154293 18729319192 32776308586 65552617172 131105234344