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111012022020200 = 23527211327757349
BaseRepresentation
bin11001001111011100000000…
…001000110110100001101000
3112120001122102200112002222112
4121033130000020312201220
5104022310110114121300
61032034115135541452
732245232251664300
oct3117340010664150
9476048380462875
10111012022020200
113240aa30397874
121054aa5968a888
1349c3509141602
141d5b020c98600
15cc7a265e8e35
hex64f700236868

111012022020200 has 72 divisors (see below), whose sum is σ = 300242208561750. Its totient is φ = 38061264689280.

The previous prime is 111012022020199. The next prime is 111012022020203. The reversal of 111012022020200 is 2020220210111.

It can be written as a sum of positive squares in 3 ways, for example, as 86764493044516 + 24247528975684 = 9314746^2 + 4924178^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (111012022020203) 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 17 ways as a sum of consecutive naturals, for example, 5663868875 + ... + 5663888474.

Almost surely, 2111012022020200 is an apocalyptic number.

111012022020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111012022020200 is an abundant number, since it is smaller than the sum of its proper divisors (189230186541550).

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

111012022020200 is a wasteful number, since it uses less digits than its factorization.

111012022020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327757379 (or 11327757363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 111012022020200 its reverse (2020220210111), we get a palindrome (113032242230311).

The spelling of 111012022020200 in words is "one hundred eleven trillion, twelve billion, twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 11327757349 22655514698 45311029396 56638786745 79294301443 90622058792 113277573490 158588602886 226555146980 283193933725 317177205772 396471507215 453110293960 555060110101 566387867450 634354411544 792943014430 1110120220202 1132775734900 1585886028860 1982357536075 2220240440404 2265551469800 2775300550505 3171772057720 3964715072150 4440480880808 5550601101010 7929430144300 11101202202020 13876502752525 15858860288600 22202404404040 27753005505050 55506011010100 111012022020200