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111411091090 = 251337731811753
BaseRepresentation
bin110011111000010011…
…1100101011010010010
3101122120102121211110001
41213300213211122102
53311132214403330
6123103114200214
711022604435435
oct1476047453222
9348512554401
10111411091090
11432817247a2
121971342306a
13a67695ca50
14556c78181c
152d70e2d9ca
hex19f09e5692

111411091090 has 128 divisors (see below), whose sum is σ = 226212622272. Its totient is φ = 39235829760.

The previous prime is 111411091049. The next prime is 111411091151. The reversal of 111411091090 is 90190114111.

It is a Cunningham number, because it is equal to 3337832+1.

It can be written as a sum of positive squares in 32 ways, for example, as 41131490481 + 70279600609 = 202809^2 + 265103^2 .

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63553654 + ... + 63555406.

Almost surely, 2111411091090 is an apocalyptic number.

111411091090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111411091090 is an abundant number, since it is smaller than the sum of its proper divisors (114801531182).

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

111411091090 is a wasteful number, since it uses less digits than its factorization.

111411091090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 111411091090 in words is "one hundred eleven billion, four hundred eleven million, ninety-one thousand, ninety".

Divisors: 1 2 5 10 13 26 37 65 73 74 130 146 181 185 362 365 370 481 730 905 949 962 1753 1810 1898 2353 2405 2701 3506 4706 4745 4810 5402 6697 8765 9490 11765 13213 13394 13505 17530 22789 23530 26426 27010 33485 35113 45578 64861 66065 66970 70226 87061 113945 127969 129722 132130 171769 174122 175565 227890 255938 317293 324305 343538 351130 435305 488881 634586 639845 648610 843193 858845 870610 977762 1279690 1586465 1663597 1686386 1717690 2444405 3172930 3327194 4124809 4215965 4734853 4888810 6355453 8249618 8317985 8431930 9469706 11739841 12710906 16635970 20624045 23162389 23479682 23674265 31777265 41248090 46324778 47348530 58699205 61553089 63554530 115811945 117398410 123106178 152617933 231623890 301111057 305235866 307765445 602222114 615530890 763089665 857008393 1505555285 1526179330 1714016786 3011110570 4285041965 8570083930 11141109109 22282218218 55705545545 111411091090