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111020012200 = 23526126933829
BaseRepresentation
bin110011101100101001…
…1101111001010101000
3101121120011201222001201
41213121103233022220
53304332110342300
6123000224053544
711010115350646
oct1473123571250
9347504658051
10111020012200
11430a09a23a9
12196244642b4
13a613922c16
145532860196
152d4b92d66a
hex19d94ef2a8

111020012200 has 96 divisors (see below), whose sum is σ = 263336103000. Its totient is φ = 43516339200.

The previous prime is 111020012189. The next prime is 111020012209. The reversal of 111020012200 is 2210020111.

It can be written as a sum of positive squares in 12 ways, for example, as 4246607556 + 106773404644 = 65166^2 + 326762^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111020012209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264886 + ... + 3298714.

Almost surely, 2111020012200 is an apocalyptic number.

111020012200 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 111020012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131668051500).

111020012200 is an abundant number, since it is smaller than the sum of its proper divisors (152316090800).

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

111020012200 is a wasteful number, since it uses less digits than its factorization.

111020012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34175 (or 34166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111020012200 its reverse (2210020111), we get a palindrome (113230032311).

The spelling of 111020012200 in words is "one hundred eleven billion, twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 269 305 488 538 610 1076 1220 1345 1525 2152 2440 2690 3050 5380 6100 6725 10760 12200 13450 16409 26900 32818 33829 53800 65636 67658 82045 131272 135316 164090 169145 270632 328180 338290 410225 656360 676580 820450 845725 1353160 1640900 1691450 2063569 3281800 3382900 4127138 6765800 8254276 9100001 10317845 16508552 18200002 20635690 36400004 41271380 45500005 51589225 72800008 82542760 91000010 103178450 182000020 206356900 227500025 364000040 412713800 455000050 555100061 910000100 1110200122 1820000200 2220400244 2775500305 4440800488 5551000610 11102001220 13877501525 22204002440 27755003050 55510006100 111020012200