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10010000112112 = 2471113718802817
BaseRepresentation
bin1001000110101010001010…
…0000000011100111110000
31022102221120010012120202001
42101222202200003213300
52303000440012041422
633142310334103344
72052125064034150
oct221524240034760
938387503176661
1010010000112112
11320a243115290
12115800894ab54
13577c28b84a20
142686b52c0760
151255b2d24227
hex91aa28039f0

10010000112112 has 160 divisors (see below), whose sum is σ = 26406763858944. Its totient is φ = 3549295411200.

The previous prime is 10010000112109. The next prime is 10010000112139. The reversal of 10010000112112 is 21121100001001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264273 + ... + 5538544.

Almost surely, 210010000112112 is an apocalyptic number.

It is an amenable number.

10010000112112 is an abundant number, since it is smaller than the sum of its proper divisors (16396763746832).

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

10010000112112 is a wasteful number, since it uses less digits than its factorization.

10010000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802927 (or 8802921 counting only the distinct ones).

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

Adding to 10010000112112 its reverse (21121100001001), we get a palindrome (31131100113113).

The spelling of 10010000112112 in words is "ten trillion, ten billion, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 71 77 88 91 104 112 142 143 154 176 182 208 284 286 308 364 497 568 572 616 728 781 923 994 1001 1136 1144 1232 1456 1562 1846 1988 2002 2288 3124 3692 3976 4004 5467 6248 6461 7384 7952 8008 10153 10934 12496 12922 14768 16016 20306 21868 25844 40612 43736 51688 71071 81224 87472 103376 142142 162448 284284 568568 1137136 8802817 17605634 35211268 61619719 70422536 96830987 114436621 123239438 140845072 193661974 228873242 246478876 387323948 457746484 492957752 625000007 677816909 774647896 801056347 915492968 985915504 1250000014 1258802831 1355633818 1549295792 1602112694 1830985936 2500000028 2517605662 2711267636 3204225388 4375000049 5000000056 5035211324 5422535272 6408450776 6875000077 8125000091 8750000098 8811619817 10000000112 10070422648 10845070544 12816901552 13750000154 16250000182 17500000196 17623239634 20140845296 27500000308 32500000364 35000000392 35246479268 48125000539 55000000616 56875000637 65000000728 70000000784 70492958536 89375001001 96250001078 110000001232 113750001274 130000001456 140985917072 178750002002 192500002156 227500002548 357500004004 385000004312 455000005096 625625007007 715000008008 770000008624 910000010192 1251250014014 1430000016016 2502500028028 5005000056056 10010000112112