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10110112012 = 22711132434517
BaseRepresentation
bin10010110101001110…
…00001000100001100
3222002120221220102001
421122213001010030
5131201142041022
64351114442044
7505352351140
oct113247010414
928076856361
1010110112012
114318992880
121b61a33324
13c51761800
146bca27220
153e28adb27
hex25a9c110c

10110112012 has 144 divisors (see below), whose sum is σ = 24446644992. Its totient is φ = 3550659840.

The previous prime is 10110112009. The next prime is 10110112073. The reversal of 10110112012 is 21021101101.

It is a self number, because there is not a number n which added to its sum of digits gives 10110112012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2235978 + ... + 2240494.

It is an arithmetic number, because the mean of its divisors is an integer number (169768368).

Almost surely, 210110112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223322496).

10110112012 is an abundant number, since it is smaller than the sum of its proper divisors (14336532980).

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

10110112012 is a wasteful number, since it uses less digits than its factorization.

10110112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10110112012 its reverse (21021101101), we get a palindrome (31131213113).

The spelling of 10110112012 in words is "ten billion, one hundred ten million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 169 172 182 286 301 308 338 364 473 559 572 602 676 946 1001 1118 1183 1204 1859 1892 2002 2236 2366 3311 3718 3913 4004 4517 4732 6149 6622 7267 7436 7826 9034 12298 13013 13244 14534 15652 18068 24596 26026 29068 31619 43043 49687 50869 52052 58721 63238 79937 86086 99374 101738 117442 126476 159874 172172 194231 198748 203476 234884 319748 347809 388462 411047 559559 645931 695618 763373 776924 822094 1119118 1291862 1359617 1391236 1526746 1644188 2136541 2238236 2525003 2583724 2719234 3053492 4273082 4521517 5050006 5343611 5438468 8397103 8546164 9043034 10100012 10687222 14955787 16794206 17675021 18086068 21374444 27775033 29911574 32825039 33588412 35350042 55550066 58779721 59823148 65650078 70700084 111100132 117559442 131300156 194425231 229775273 235118884 361075429 388850462 459550546 722150858 777700924 919101092 1444301716 2527528003 5055056006 10110112012