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11030231023100 = 225219291361914699
BaseRepresentation
bin1010000010000010110100…
…0000000111110111111100
31110001110221202122202210122
42200200231000013313330
52421204403120214400
635243115043154112
72215623256506032
oct240405500076774
943043852582718
1011030231023100
113572992945023
1212a1896075938
136201b9615cc3
142a1c1a55a552
15141dc5719685
hexa082d007dfc

11030231023100 has 144 divisors (see below), whose sum is σ = 26067862800000. Its totient is φ = 4035172458240.

The previous prime is 11030231023087. The next prime is 11030231023109. The reversal of 11030231023100 is 132013203011.

It is a super-3 number, since 3×110302310231003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030231023109) 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 47 ways as a sum of consecutive naturals, for example, 750399551 + ... + 750414249.

It is an arithmetic number, because the mean of its divisors is an integer number (181026825000).

Almost surely, 211030231023100 is an apocalyptic number.

11030231023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030231023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033931400000).

11030231023100 is an abundant number, since it is smaller than the sum of its proper divisors (15037631776900).

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

11030231023100 is a wasteful number, since it uses less digits than its factorization.

11030231023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28380 (or 28373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11030231023100 its reverse (132013203011), we get a palindrome (11162244226111).

The spelling of 11030231023100 in words is "eleven trillion, thirty billion, two hundred thirty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13619 13775 14699 27238 27550 29398 54476 55100 58796 68095 73495 136190 146990 258761 272380 279281 293980 340475 367475 394951 426271 517522 558562 680950 734950 789902 852542 1035044 1117124 1293805 1361900 1396405 1469900 1579804 1705084 1974755 2131355 2587610 2792810 3949510 4262710 5175220 5585620 6469025 6982025 7504069 7899020 8099149 8525420 9873775 10656775 12938050 13964050 15008138 16198298 19747550 21313550 25876100 27928100 30016276 32396596 37520345 39495100 40495745 42627100 75040690 80991490 150081380 161982980 187601725 200185681 202478725 375203450 400371362 404957450 750406900 800742724 809914900 1000928405 2001856810 3803527939 4003713620 5004642025 5805384749 7607055878 10009284050 11610769498 15214111756 19017639695 20018568100 23221538996 29026923745 38035279390 58053847490 76070558780 95088198475 110302310231 116107694980 145134618725 190176396950 220604620462 290269237450 380352793900 441209240924 551511551155 580538474900 1103023102310 2206046204620 2757557755775 5515115511550 11030231023100