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11060105600500 = 2253113037662143
BaseRepresentation
bin1010000011110010000110…
…1010100101110111110100
31110011100001202221112201021
42200330201222211313310
52422202044013204000
635304535315110524
72221031504310235
oct240744152456764
943140052845637
1011060105600500
113584623303210
1212a7632ba2444
13622c6aa05c38
142a345207708c
15142a7331b11a
hexa0f21aa5df4

11060105600500 has 96 divisors (see below), whose sum is σ = 26359920857088. Its totient is φ = 4020526224000.

The previous prime is 11060105600491. The next prime is 11060105600507. The reversal of 11060105600500 is 500650106011.

11060105600500 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 2×110601056005002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11060105600507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16372429 + ... + 17034571.

It is an arithmetic number, because the mean of its divisors is an integer number (274582508928).

Almost surely, 211060105600500 is an apocalyptic number.

11060105600500 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 11060105600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179960428544).

11060105600500 is an abundant number, since it is smaller than the sum of its proper divisors (15299815256588).

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

11060105600500 is a wasteful number, since it uses less digits than its factorization.

11060105600500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665210 (or 665198 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 11060105600500 its reverse (500650106011), we get a palindrome (11560755706511).

The spelling of 11060105600500 in words is "eleven trillion, sixty billion, one hundred five million, six hundred thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 3037 5500 6074 12148 15185 30370 33407 60740 66814 75925 133628 151850 167035 303700 334070 379625 662143 668140 759250 835175 1324286 1518500 1670350 2648572 3310715 3340700 4175875 6621430 7283573 8351750 13242860 14567146 16553575 16703500 29134292 33107150 36417865 66214300 72835730 82767875 145671460 165535750 182089325 331071500 364178650 728357300 910446625 1820893250 2010928291 3641786500 4021856582 8043713164 10054641455 20109282910 22120211201 40218565820 44240422402 50273207275 88480844804 100546414550 110601056005 201092829100 221202112010 251366036375 442404224020 502732072750 553005280025 1005464145500 1106010560050 2212021120100 2765026400125 5530052800250 11060105600500