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110200011011112 = 233113731735589077
BaseRepresentation
bin11001000011100111110000…
…100000101011010000101000
3112110012000111020112220000110
4121003213300200223100220
5103421004110304323422
61030213104113534320
732132455001204121
oct3103476040532050
9473160436486013
10110200011011112
1132127620342190
12104396008743a0
134964a7c977489
141d2d9cd68b048
15cb184db0e60c
hex6439f082b428

110200011011112 has 128 divisors (see below), whose sum is σ = 309642061357440. Its totient is φ = 32388906286080.

The previous prime is 110200011011093. The next prime is 110200011011119. The reversal of 110200011011112 is 211110110002011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110200011011119) 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 31 ways as a sum of consecutive naturals, for example, 14698083 + ... + 20890994.

It is an arithmetic number, because the mean of its divisors is an integer number (2419078604355).

Almost surely, 2110200011011112 is an apocalyptic number.

110200011011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110200011011112 is an abundant number, since it is smaller than the sum of its proper divisors (199442050346328).

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

110200011011112 is a wasteful number, since it uses less digits than its factorization.

110200011011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35589451 (or 35589447 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110200011011112 its reverse (211110110002011), we get a palindrome (321310121013123).

The spelling of 110200011011112 in words is "one hundred ten trillion, two hundred billion, eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 317 407 444 634 814 888 951 1221 1268 1628 1902 2442 2536 3256 3487 3804 4884 6974 7608 9768 10461 11729 13948 20922 23458 27896 35187 41844 46916 70374 83688 93832 129019 140748 258038 281496 387057 516076 774114 1032152 1548228 3096456 35589077 71178154 106767231 142356308 213534462 284712616 391479847 427068924 782959694 854137848 1174439541 1316795849 1565919388 2348879082 2633591698 3131838776 3950387547 4697758164 5267183396 7900775094 9395516328 10534366792 11281737409 14484754339 15801550188 22563474818 28969508678 31603100376 33845212227 43454263017 45126949636 57939017356 67690424454 86908526034 90253899272 115878034712 124099111499 135380848908 173817052068 248198222998 270761697816 347634104136 372297334497 417424284133 496396445996 744594668994 834848568266 992792891992 1252272852399 1489189337988 1669697136532 2504545704798 2978378675976 3339394273064 4591667125463 5009091409596 9183334250926 10018182819192 13775001376389 18366668501852 27550002752778 36733337003704 55100005505556 110200011011112