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110200210111220 = 225173710186732209
BaseRepresentation
bin11001000011100111111100…
…011000001011101011110100
3112110012001000010012020000112
4121003213330120023223310
5103421010012242024340
61030213135545202152
732132462636422655
oct3103477430135364
9473161003166015
10110200210111220
1132127712770029
1210439657490358
134964ab1ca7ca8
141d2da0bcb752c
15cb186133c065
hex6439fc60baf4

110200210111220 has 96 divisors (see below), whose sum is σ = 254147578745760. Its totient is φ = 39966201446400.

The previous prime is 110200210111217. The next prime is 110200210111249. The reversal of 110200210111220 is 22111012002011.

It can be written as a sum of positive squares in 16 ways, for example, as 14362493084944 + 95837717026276 = 3789788^2 + 9789674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110200210111195 and 110200210111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42095525 + ... + 44636684.

It is an arithmetic number, because the mean of its divisors is an integer number (2647370611935).

Almost surely, 2110200210111220 is an apocalyptic number.

110200210111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110200210111220 is an abundant number, since it is smaller than the sum of its proper divisors (143947368634540).

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

110200210111220 is a wasteful number, since it uses less digits than its factorization.

110200210111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86732373 (or 86732371 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110200210111220 its reverse (22111012002011), we get a palindrome (132311222113231).

The spelling of 110200210111220 in words is "one hundred ten trillion, two hundred billion, two hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 101 148 170 185 202 340 370 404 505 629 740 1010 1258 1717 2020 2516 3145 3434 3737 6290 6868 7474 8585 12580 14948 17170 18685 34340 37370 63529 74740 127058 254116 317645 635290 1270580 86732209 173464418 346928836 433661045 867322090 1474447553 1734644180 2948895106 3209091733 5897790212 6418183466 7372237765 8759953109 12836366932 14744475530 16045458665 17519906218 29488951060 32090917330 35039812436 43799765545 54554559461 64181834660 87599531090 109109118922 148919202853 175199062180 218218237844 272772797305 297838405706 324118265033 545545594610 595676811412 648236530066 744596014265 1091091189220 1296473060132 1489192028530 1620591325165 2978384057060 3241182650330 5510010505561 6482365300660 11020021011122 22040042022244 27550052527805 55100105055610 110200210111220