Search a number
-
+
9999990011112 = 233171131390315601
BaseRepresentation
bin1001000110000100110111…
…0110100011010011101000
31022101222201111102202122120
42101201031312203103220
52302314434420323422
633133533150551240
72051322034422213
oct221411566432350
938358644382576
109999990011112
113205a76731242
121156094508520
13576cc206ba3a
14268005a8c77a
151251c911d45c
hex9184dda34e8

9999990011112 has 128 divisors (see below), whose sum is σ = 26708447208960. Its totient is φ = 3109065523200.

The previous prime is 9999990011087. The next prime is 9999990011147. The reversal of 9999990011112 is 2111100999999.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640976112 + ... + 640991712.

It is an arithmetic number, because the mean of its divisors is an integer number (208659743820).

Almost surely, 29999990011112 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 9999990011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354223604480).

9999990011112 is an abundant number, since it is smaller than the sum of its proper divisors (16708457197848).

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

9999990011112 is a wasteful number, since it uses less digits than its factorization.

9999990011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29643 (or 29639 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 60.

The spelling of 9999990011112 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred ninety million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 339 408 452 678 904 1356 1921 2712 3842 5763 7684 11526 13903 15368 15601 23052 27806 31202 41709 46104 46803 55612 62404 83418 93606 111224 124808 166836 187212 236351 265217 333672 374424 472702 530434 709053 795651 945404 1060868 1418106 1571039 1591302 1762913 1890808 2121736 2836212 3142078 3182604 3525826 4713117 5288739 5672424 6284156 6365208 7051652 9426234 10577478 12568312 14103304 18852468 21154956 26707663 29969521 37704936 42309912 53415326 59939042 80122989 89908563 106830652 119878084 160245978 179817126 213661304 216900703 239756168 320491956 359634252 433801406 640983912 650702109 719268504 867602812 1301404218 1735205624 2602808436 3687311951 5205616872 7374623902 11061935853 14749247804 22123871706 24509779439 29498495608 44247743412 49019558878 73529338317 88495486824 98039117756 147058676634 196078235512 294117353268 416666250463 588234706536 833332500926 1249998751389 1666665001852 2499997502778 3333330003704 4999995005556 9999990011112