Search a number
-
+
10534041153030 = 23517316110922783
BaseRepresentation
bin1001100101001010010111…
…0001111110111000000110
31101022001012102212201020110
42121102211301332320012
52340042204013344110
634223134404213450
72135026234266033
oct231224561767006
941261172781213
1010534041153030
1133a150967763a
12122169909a286
135b548196b3a5
14285bc938438a
15134034353a20
hex994a5c7ee06

10534041153030 has 128 divisors (see below), whose sum is σ = 28085361278976. Its totient is φ = 2516608972800.

The previous prime is 10534041153023. The next prime is 10534041153109. The reversal of 10534041153030 is 3035114043501.

10534041153030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105340411530302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4496982 + ... + 6425801.

It is an arithmetic number, because the mean of its divisors is an integer number (219416884992).

Almost surely, 210534041153030 is an apocalyptic number.

10534041153030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10534041153030 is an abundant number, since it is smaller than the sum of its proper divisors (17551320125946).

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

10534041153030 is a wasteful number, since it uses less digits than its factorization.

10534041153030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922902.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10534041153030 its reverse (3035114043501), we get a palindrome (13569155196531).

The spelling of 10534041153030 in words is "ten trillion, five hundred thirty-four billion, forty-one million, one hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 61 62 85 93 102 122 155 170 183 186 255 305 310 366 465 510 527 610 915 930 1037 1054 1581 1830 1891 2074 2635 3111 3162 3782 5185 5270 5673 6222 7905 9455 10370 11346 15555 15810 18910 28365 31110 32147 56730 64294 96441 160735 192882 321470 482205 964410 10922783 21845566 32768349 54613915 65536698 109227830 163841745 185687311 327683490 338606273 371374622 557061933 666289763 677212546 928436555 1015818819 1114123866 1332579526 1693031365 1856873110 1998869289 2031637638 2785309665 3331448815 3386062730 3997738578 5079094095 5570619330 5756306641 6662897630 9994346445 10158188190 11326925971 11512613282 17268919923 19988692890 20654982653 22653851942 28781533205 33980777913 34537839846 41309965306 56634629855 57563066410 61964947959 67961555826 86344599615 103274913265 113269259710 123929895918 169903889565 172689199230 206549826530 309824739795 339807779130 351134705101 619649479590 702269410202 1053404115303 1755673525505 2106808230606 3511347051010 5267020576515 10534041153030