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131067720810 = 23451317732181
BaseRepresentation
bin111101000010000111…
…1101011010001101010
3110112022100001002020000
41322010033223101222
54121411314031220
6140113420043430
712316660150005
oct1720417532152
9415270032200
10131067720810
1150649347624
122149a393576
13c48a162cb0
1464b520453c
153621970390
hex1e843eb46a

131067720810 has 160 divisors (see below), whose sum is σ = 401862483792. Its totient is φ = 30364968960.

The previous prime is 131067720809. The next prime is 131067720851. The reversal of 131067720810 is 18027760131.

It can be written as a sum of positive squares in 8 ways, for example, as 95145720849 + 35921999961 = 308457^2 + 189531^2 .

It is a super-2 number, since 2×1310677208102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187081 + ... + 545100.

Almost surely, 2131067720810 is an apocalyptic number.

131067720810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131067720810 is an abundant number, since it is smaller than the sum of its proper divisors (270794762982).

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

131067720810 is a wasteful number, since it uses less digits than its factorization.

131067720810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732230 (or 732221 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 131067720810 in words is "one hundred thirty-one billion, sixty-seven million, seven hundred twenty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 3315 3510 3978 4590 5265 5967 6630 6885 9945 10530 11934 13770 17901 19890 29835 35802 59670 89505 179010 732181 1464362 2196543 3660905 4393086 6589629 7321810 9518353 10982715 12447077 13179258 19036706 19768887 21965430 24894154 28555059 32948145 37341231 39537774 47591765 57110118 59306661 62235385 65896290 74682462 85665177 95183530 98844435 112023693 118613322 124470770 142775295 161812001 171330354 186706155 197688870 224047386 256995531 285550590 296533305 323624002 336071079 373412310 428325885 485436003 513991062 560118465 593066610 672142158 770986593 809060005 856651770 970872006 1008213237 1120236930 1284977655 1456308009 1541973186 1618120010 1680355395 2016426474 2427180015 2569955310 2912616018 3360710790 3854932965 4368924027 4854360030 5041066185 7281540045 7709865930 8737848054 10082132370 13106772081 14563080090 21844620135 26213544162 43689240270 65533860405 131067720810