Search a number
-
+
10002120021110 = 2573103113250543
BaseRepresentation
bin1001000110001100110011…
…0011111001010001110110
31022102012012221102111001202
42101203030303321101312
52302333320211133420
633134524400252502
72051425600256000
oct221431463712166
938365187374052
1010002120021110
113206969aa7288
121156589911132
13577271436299
1426816890b370
151252a1112575
hex918cccf9476

10002120021110 has 128 divisors (see below), whose sum is σ = 21387237580800. Its totient is φ = 3365937566208.

The previous prime is 10002120021079. The next prime is 10002120021139. The reversal of 10002120021110 is 1112002120001.

10002120021110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10002120021091 and 10002120021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39796499 + ... + 40047041.

It is an arithmetic number, because the mean of its divisors is an integer number (167087793600).

Almost surely, 210002120021110 is an apocalyptic number.

10002120021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002120021110 is an abundant number, since it is smaller than the sum of its proper divisors (11385117559690).

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

10002120021110 is a wasteful number, since it uses less digits than its factorization.

10002120021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250787 (or 250773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002120021110 its reverse (1112002120001), we get a palindrome (11114122141111).

The spelling of 10002120021110 in words is "ten trillion, two billion, one hundred twenty million, twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 103 113 206 226 245 343 490 515 565 686 721 791 1030 1130 1442 1582 1715 3430 3605 3955 5047 5537 7210 7910 10094 11074 11639 23278 25235 27685 35329 38759 50470 55370 58195 70658 77518 81473 116390 162946 176645 193795 250543 353290 387590 407365 501086 570311 814730 1140622 1252715 1753801 2505430 2851555 3507602 3992177 5703110 7984354 8769005 12276607 17538010 19960885 24553214 25805929 28311359 39921770 51611858 56622718 61383035 85936249 122766070 129029645 141556795 171872498 180641503 198179513 258059290 283113590 361283006 396359026 429681245 859362490 903207515 990897565 1264490521 1387256591 1806415030 1981795130 2528981042 2774513182 2916069977 5832139954 6322452605 6936282955 8851433647 9710796137 12644905210 13872565910 14580349885 17702867294 19421592274 20412489839 29160699770 40824979678 44257168235 48553980685 88514336470 97107961370 102062449195 142887428873 204124898390 285774857746 714437144365 1000212002111 1428874288730 2000424004222 5001060010555 10002120021110