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311441331020134 = 271723612833295757
BaseRepresentation
bin100011011010000010001010…
…1111001110110000101100110
31111211201111111211210000000211
41012310010111321312011212
5311310123321220121014
63022214101115130034
7122412615341513410
oct10664042571660546
91454644454700024
10311441331020134
1190264588113a07
122ab1b4bb74391a
13104a1a39bc5b23
1456c9bab4159b0
1526014851b4cc4
hex11b4115e76166

311441331020134 has 128 divisors (see below), whose sum is σ = 601672736765952. Its totient is φ = 117773972490240.

The previous prime is 311441331020119. The next prime is 311441331020221. The reversal of 311441331020134 is 431020133144113.

It is a super-2 number, since 2×3114413310201342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311441331020096 and 311441331020105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92849784 + ... + 96145540.

It is an arithmetic number, because the mean of its divisors is an integer number (4700568255984).

Almost surely, 2311441331020134 is an apocalyptic number.

311441331020134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311441331020134 is a deficient number, since it is larger than the sum of its proper divisors (290231405745818).

311441331020134 is a wasteful number, since it uses less digits than its factorization.

311441331020134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296150.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 311441331020134 its reverse (431020133144113), we get a palindrome (742461464164247).

The spelling of 311441331020134 in words is "three hundred eleven trillion, four hundred forty-one billion, three hundred thirty-one million, twenty thousand, one hundred thirty-four".

Divisors: 1 2 7 14 17 23 34 46 61 119 122 161 238 283 322 391 427 566 782 854 1037 1403 1981 2074 2737 2806 3962 4811 5474 6509 7259 9622 9821 13018 14518 17263 19642 23851 33677 34526 45563 47702 67354 91126 110653 120841 166957 221306 241682 293471 333914 397049 586942 774571 794098 1549142 2054297 2779343 3295757 4108594 5558686 6591514 6749833 13499666 23070299 46140598 47248831 56027869 75802411 94497662 112055738 151604822 201041177 392195083 402082354 530616877 784390166 932699231 1061233754 1288640987 1407288239 1865398462 2577281974 2814576478 3417700009 4623947071 6528894617 6835400018 9020486909 9247894142 13057789234 15855886927 18040973818 21452082313 23923900063 31711773854 32367629497 42904164626 47847800126 56894653091 64735258994 78607100207 110991208489 113789306182 150164576191 157214200414 221982416978 300329152382 364685399321 398262571637 550249701449 729370798642 796525143274 967209102547 1100499402898 1308577021093 1934418205094 2552797795247 2617154042186 5105595590494 6770463717829 9160039147651 13540927435658 18320078295302 22245809358581 44491618717162 155720665510067 311441331020134