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10000223011120 = 2454143531337801
BaseRepresentation
bin1001000110000101101110…
…1111011000000100110000
31022102000022201212101120111
42101201123233120010300
52302320424042323440
633134012232551104
72051330564041426
oct221413357300460
938360281771514
1010000223011120
113206086203631
12115613a552494
1357702b40b674
142680289c1116
151251de7e54ea
hex9185bbd8130

10000223011120 has 160 divisors (see below), whose sum is σ = 24831360316224. Its totient is φ = 3739846656000.

The previous prime is 10000223011109. The next prime is 10000223011127. The reversal of 10000223011120 is 2111032200001.

It is a self number, because there is not a number n which added to its sum of digits gives 10000223011120.

It is not an unprimeable number, because it can be changed into a prime (10000223011127) 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 31 ways as a sum of consecutive naturals, for example, 6806220 + ... + 8144020.

Almost surely, 210000223011120 is an apocalyptic number.

10000223011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000223011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415680158112).

10000223011120 is an abundant number, since it is smaller than the sum of its proper divisors (14831137305104).

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

10000223011120 is a wasteful number, since it uses less digits than its factorization.

10000223011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337951 (or 1337945 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000223011120 its reverse (2111032200001), we get a palindrome (12111255211121).

The spelling of 10000223011120 in words is "ten trillion, two hundred twenty-three million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 43 53 80 82 86 106 164 172 205 212 215 265 328 344 410 424 430 530 656 688 820 848 860 1060 1640 1720 1763 2120 2173 2279 3280 3440 3526 4240 4346 4558 7052 8692 8815 9116 10865 11395 14104 17384 17630 18232 21730 22790 28208 34768 35260 36464 43460 45580 70520 86920 91160 93439 141040 173840 182320 186878 373756 467195 747512 934390 1337801 1495024 1868780 2675602 3737560 5351204 6689005 7475120 10702408 13378010 21404816 26756020 53512040 54849841 57525443 70903453 107024080 109699682 115050886 141806906 219399364 230101772 274249205 283613812 287627215 354517265 438798728 460203544 548498410 567227624 575254430 709034530 877597456 920407088 1096996820 1134455248 1150508860 1418069060 2193993640 2301017720 2358543163 2836138120 2907041573 3048848479 4387987280 4602035440 4717086326 5672276240 5814083146 6097696958 9434172652 11628166292 11792715815 12195393916 14535207865 15244242395 18868345304 23256332584 23585431630 24390787832 29070415730 30488484790 37736690608 46512665168 47170863260 48781575664 58140831460 60976969580 94341726520 116281662920 121953939160 125002787639 188683453040 232563325840 243907878320 250005575278 500011150556 625013938195 1000022301112 1250027876390 2000044602224 2500055752780 5000111505560 10000223011120