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131040240444113 = 711213171813867679
BaseRepresentation
bin11101110010111000101110…
…111110111010001011010001
3122011222022202122221002001212
4131302320232332322023101
5114133430403023202423
61142411015544505505
736413226213453530
oct3562705676721321
9564868678832055
10131040240444113
1138831943578400
121284458747b295
13581707067b2b0
14245054aac2317
1510239cd98e578
hex772e2efba2d1

131040240444113 has 96 divisors (see below), whose sum is σ = 188740061153280. Its totient is φ = 88220188108800.

The previous prime is 131040240444023. The next prime is 131040240444119. The reversal of 131040240444113 is 311444042040131.

It is not a de Polignac number, because 131040240444113 - 234 = 131023060574929 is a prime.

It is a super-2 number, since 2×1310402404441132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131040240444113.

It is not an unprimeable number, because it can be changed into a prime (131040240444119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31947008 + ... + 35814686.

It is an arithmetic number, because the mean of its divisors is an integer number (1966042303680).

Almost surely, 2131040240444113 is an apocalyptic number.

131040240444113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131040240444113 is a deficient number, since it is larger than the sum of its proper divisors (57699820709167).

131040240444113 is a wasteful number, since it uses less digits than its factorization.

131040240444113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867919 (or 3867908 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131040240444113 its reverse (311444042040131), we get a palindrome (442484282484244).

The spelling of 131040240444113 in words is "one hundred thirty-one trillion, forty billion, two hundred forty million, four hundred forty-four thousand, one hundred thirteen".

Divisors: 1 7 11 13 17 77 91 119 121 143 181 187 221 847 1001 1267 1309 1547 1573 1991 2057 2353 2431 3077 11011 13937 14399 16471 17017 21539 21901 25883 26741 33847 40001 153307 181181 187187 236929 280007 284713 372317 440011 1992991 2606219 3080077 3867679 4840121 27073753 33880847 42544469 50279827 65750543 297811283 351958789 460253801 467989159 553078097 700049899 723255973 854757059 3275924113 3871546679 4900349293 5062791811 5983299413 6083859067 7700548889 7955815703 9100648687 9402327649 11900848283 42587013469 53903842223 55690709921 63704540809 65816293543 83305937981 84706037779 100107135557 103425604139 130909331113 154711027679 592942264453 700749948899 723979228973 916365317791 1082977193753 1101178491127 1440002642243 1701821304469 7708249437889 10080018495701 11912749131283 18720034349159 131040240444113