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1110200221100 = 2252475922917483
BaseRepresentation
bin10000001001111101000…
…101101111110110101100
310221010121202120200120102
4100021331011233312230
5121142142224033400
62210004031410232
7143131540114325
oct20117505576654
93833552520512
101110200221100
1139891909a093
1215b1b7983978
13808cb0c9569
143ba3c06944c
151dd2b20d9d5
hex1027d16fdac

1110200221100 has 144 divisors (see below), whose sum is σ = 2513164147200. Its totient is φ = 425374821120.

The previous prime is 1110200221073. The next prime is 1110200221127. The reversal of 1110200221100 is 11220020111.

It is an interprime number because it is at equal distance from previous prime (1110200221073) and next prime (1110200221127).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63492959 + ... + 63510441.

It is an arithmetic number, because the mean of its divisors is an integer number (17452528800).

Almost surely, 21110200221100 is an apocalyptic number.

1110200221100 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 1110200221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256582073600).

1110200221100 is an abundant number, since it is smaller than the sum of its proper divisors (1402963926100).

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

1110200221100 is a wasteful number, since it uses less digits than its factorization.

1110200221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17832 (or 17825 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1110200221100 its reverse (11220020111), we get a palindrome (1121420241211).

The spelling of 1110200221100 in words is "one trillion, one hundred ten billion, two hundred million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 59 94 100 118 188 229 235 236 295 458 470 590 916 940 1145 1175 1180 1475 2290 2350 2773 2950 4580 4700 5546 5725 5900 10763 11092 11450 13511 13865 17483 21526 22900 27022 27730 34966 43052 53815 54044 55460 67555 69325 69932 87415 107630 135110 138650 174830 215260 269075 270220 277300 337775 349660 437075 538150 635017 675550 821701 874150 1031497 1076300 1270034 1351100 1643402 1748300 2062994 2540068 3175085 3286804 4003607 4108505 4125988 5157485 6350170 8007214 8217010 10314970 12700340 15875425 16014428 16434020 20018035 20542525 20629940 25787425 31750850 40036070 41085050 48480359 51574850 63501700 80072140 82170100 96960718 100090175 103149700 188169529 193921436 200180350 236212813 242401795 376339058 400360700 472425626 484803590 752678116 940847645 944851252 969607180 1181064065 1212008975 1881695290 2362128130 2424017950 3763390580 4704238225 4724256260 4848035900 5905320325 9408476450 11102002211 11810640650 18816952900 22204004422 23621281300 44408008844 55510011055 111020022110 222040044220 277550055275 555100110550 1110200221100