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11331132031310 = 2571360731196577
BaseRepresentation
bin1010010011100011110000…
…0110011000000101001110
31111010020122001222202110012
42210320330012120011032
52441122124300000220
640033241124113222
72246435005046450
oct244707406300516
944106561882405
1011331132031310
1136795626a2103
121330071235812
136426a1002160
142b26031dc2d0
15149b37053ac5
hexa4e3c19814e

11331132031310 has 128 divisors (see below), whose sum is σ = 25156057006080. Its totient is φ = 3578516527104.

The previous prime is 11331132031301. The next prime is 11331132031313. The reversal of 11331132031310 is 1313023113311.

It is a super-2 number, since 2×113311320313102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331132031313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1722838742 + ... + 1722845318.

It is an arithmetic number, because the mean of its divisors is an integer number (196531695360).

Almost surely, 211331132031310 is an apocalyptic number.

11331132031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331132031310 is an abundant number, since it is smaller than the sum of its proper divisors (13824924974770).

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

11331132031310 is a wasteful number, since it uses less digits than its factorization.

11331132031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11331132031310 its reverse (1313023113311), we get a palindrome (12644155144621).

The spelling of 11331132031310 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 607 910 1214 3035 3119 4249 6070 6238 6577 7891 8498 13154 15595 15782 21245 21833 31190 32885 39455 40547 42490 43666 46039 55237 65770 78910 81094 85501 92078 109165 110474 171002 202735 218330 230195 276185 283829 405470 427505 460390 552370 567658 598507 855010 1197014 1419145 1893233 2838290 2992535 3786466 3992239 5985070 7984478 9466165 13252631 18932330 19961195 20513663 24612029 26505262 27945673 39922390 41027326 49224058 51899107 55891346 66263155 102568315 103798214 123060145 132526310 139728365 143595641 172284203 205136630 246120290 259495535 266677619 279456730 287191282 344568406 363293749 518991070 533355238 717978205 726587498 861421015 1333388095 1435956410 1722842030 1816468745 1866743333 2666776190 3632937490 3733486666 9333716665 12451793441 18667433330 24903586882 62258967205 87162554087 124517934410 161873314733 174325108174 323746629466 435812770435 809366573665 871625540870 1133113203131 1618733147330 2266226406262 5665566015655 11331132031310