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10034041122 = 23272927110133
BaseRepresentation
bin10010101100001001…
…10101000100100010
3221220021211002202200
421112010311010202
5131022203303442
64335400154030
7503436641130
oct112604650442
927807732680
1010034041122
114289a55676
121b40468916
13c3ba78951
146b28a4750
153dad8434c
hex256135122

10034041122 has 96 divisors (see below), whose sum is σ = 25800353280. Its totient is φ = 2757525120.

The previous prime is 10034041117. The next prime is 10034041163. The reversal of 10034041122 is 22114043001.

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 = 10034041095 and 10034041104.

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, 985168 + ... + 995300.

It is an arithmetic number, because the mean of its divisors is an integer number (268753680).

Almost surely, 210034041122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034041122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900176640).

10034041122 is an abundant number, since it is smaller than the sum of its proper divisors (15766312158).

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

10034041122 is a wasteful number, since it uses less digits than its factorization.

10034041122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10034041122 its reverse (22114043001), we get a palindrome (32148084123).

The spelling of 10034041122 in words is "ten billion, thirty-four million, forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 271 406 522 542 609 813 1218 1626 1827 1897 2439 3654 3794 4878 5691 7859 10133 11382 15718 17073 20266 23577 30399 34146 47154 55013 60798 70731 70931 91197 110026 141462 141862 165039 182394 212793 293857 330078 425586 495117 587714 638379 881571 990234 1276758 1763142 2056999 2644713 2746043 4113998 5289426 5492086 6170997 8238129 12341994 16476258 18512991 19222301 24714387 37025982 38444602 49428774 57666903 79635247 115333806 159270494 173000709 238905741 346001418 477811482 557446729 716717223 1114893458 1433434446 1672340187 3344680374 5017020561 10034041122