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131302010303105 = 53137733137691303
BaseRepresentation
bin11101110110101100100001…
…101011101011001010000001
3122012220100102212002201102112
4131312230201223223022001
5114202223004114144410
61143131151045225105
736441154134526145
oct3566544153531201
9565810385081375
10131302010303105
1138922962863944
1212887261702195
135835959cc3495
14245d0a0725225
15102a6eec19105
hex776b21aeb281

131302010303105 has 128 divisors (see below), whose sum is σ = 170221537812480. Its totient is φ = 97038269153280.

The previous prime is 131302010303083. The next prime is 131302010303131. The reversal of 131302010303105 is 501303010203131.

It is not a de Polignac number, because 131302010303105 - 244 = 113709824258689 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100769001884 + ... + 100769003186.

It is an arithmetic number, because the mean of its divisors is an integer number (1329855764160).

Almost surely, 2131302010303105 is an apocalyptic number.

It is an amenable number.

131302010303105 is a deficient number, since it is larger than the sum of its proper divisors (38919527509375).

131302010303105 is a wasteful number, since it uses less digits than its factorization.

131302010303105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 131302010303105 its reverse (501303010203131), we get a palindrome (632605020506236).

The spelling of 131302010303105 in words is "one hundred thirty-one trillion, three hundred two billion, ten million, three hundred three thousand, one hundred five".

Divisors: 1 5 31 37 73 155 185 313 365 769 1147 1303 1565 2263 2701 3845 5735 6515 9703 11315 11581 13505 22849 23839 28453 40393 48211 48515 56137 57905 83731 95119 114245 119195 142265 201965 240697 241055 280685 359011 407839 418655 475595 708319 845413 882043 1002007 1203485 1494541 1740247 1795055 2039195 2077069 2948689 3519403 3541595 4227065 4410215 5010035 7461607 7472705 8701235 8905789 10385345 12643009 14743445 15090043 17570881 17597015 26207803 29772247 31062217 37074259 37308035 44528945 63215045 64389139 73146511 75450215 87854405 109101493 131039015 148861235 155311085 185371295 276079459 313628191 321945695 365732555 467791333 544697311 545507465 650122597 922939657 1101573139 1149302029 1380397295 1568140955 2267541841 2338956665 2706420907 2723486555 3250612985 4614698285 5507865695 5746510145 9722473921 11337709205 11604243067 13532104535 20153800507 22894857943 34148767309 48612369605 58021215335 83899048117 100769002535 114474289715 170743836545 359731535077 419495240585 709740596233 847109743891 1798657675385 3548702981165 4235548719455 26260402060621 131302010303105