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2011023030042 = 233139746164063
BaseRepresentation
bin11101010000111010010…
…100000011011100011010
321010020210122121210111000
4131100322110003130122
5230422033343430132
64135503510445430
7265202011466625
oct35207224033432
97106718553430
102011023030042
11705963089474
122858bb663876
1311783c193360
146d496836dbc
15374a0aba87c
hex1d43a50371a

2011023030042 has 128 divisors (see below), whose sum is σ = 4872943595520. Its totient is φ = 611059230720.

The previous prime is 2011023030041. The next prime is 2011023030043. The reversal of 2011023030042 is 2400303201102.

2011023030042 is a `hidden beast` number, since 20 + 110 + 230 + 300 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2011023030041) and next prime (2011023030043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011023029997 and 2011023030024.

It is not an unprimeable number, because it can be changed into a prime (2011023030041) 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 63 ways as a sum of consecutive naturals, for example, 31359303 + ... + 31423365.

It is an arithmetic number, because the mean of its divisors is an integer number (38069871840).

Almost surely, 22011023030042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011023030042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436471797760).

2011023030042 is an abundant number, since it is smaller than the sum of its proper divisors (2861920565478).

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

2011023030042 is a wasteful number, since it uses less digits than its factorization.

2011023030042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64645 (or 64639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2011023030042 its reverse (2400303201102), we get a palindrome (4411326231144).

The spelling of 2011023030042 in words is "two trillion, eleven billion, twenty-three million, thirty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 461 582 702 873 922 1261 1383 1746 2522 2619 2766 3783 4149 5238 5993 7566 8298 11349 11986 12447 17979 22698 24894 34047 35958 44717 53937 64063 68094 89434 107874 128126 134151 161811 192189 268302 323622 384378 402453 576567 581321 804906 832819 1153134 1162642 1207359 1665638 1729701 1743963 2414718 2498457 3459402 3487926 4996914 5231889 6214111 7495371 10463778 12428222 14990742 15695667 18642333 22486113 29533043 31391334 37284666 44972226 55926999 59066086 80783443 88599129 111853998 161566886 167780997 177198258 242350329 265797387 335561994 383929559 484700658 531594774 727050987 767859118 797392161 1151788677 1454101974 1594784322 2181152961 2303577354 2864705171 3455366031 4362305922 5729410342 6910732062 8594115513 10366098093 17188231026 20732196186 25782346539 37241167223 51564693078 74482334446 77347039617 111723501669 154694079234 223447003338 335170505007 670341010014 1005511515021 2011023030042