Search a number
-
+
10010021221220 = 2252394649450451
BaseRepresentation
bin1001000110101010001111…
…0000100101001101100100
31022102221121120221000222212
42101222203300211031210
52303001010413034340
633142312410342552
72052125441332556
oct221524360451544
938387546830885
1010010021221220
11320a254022929
121158013a2aa58
13577c30365c17
142686b80174d6
151255b4ae3a65
hex91aa3c25364

10010021221220 has 48 divisors (see below), whose sum is σ = 21113586144000. Its totient is φ = 3986388806400.

The previous prime is 10010021221169. The next prime is 10010021221243. The reversal of 10010021221220 is 2212212001001.

It is a super-3 number, since 3×100100212212203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010021221195 and 10010021221204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21996995 + ... + 22447445.

It is an arithmetic number, because the mean of its divisors is an integer number (439866378000).

Almost surely, 210010021221220 is an apocalyptic number.

10010021221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010021221220 is an abundant number, since it is smaller than the sum of its proper divisors (11103564922780).

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

10010021221220 is a wasteful number, since it uses less digits than its factorization.

10010021221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455348 (or 455346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10010021221220 its reverse (2212212001001), we get a palindrome (12222233222221).

It can be divided in two parts, 1001002 and 1221220, that added together give a palindrome (2222222).

The spelling of 10010021221220 in words is "ten trillion, ten billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 239 478 956 1195 2390 4649 4780 9298 18596 23245 46490 92980 450451 900902 1111111 1801804 2222222 2252255 4444444 4504510 5555555 9009020 11111110 22222220 107657789 215315578 430631156 538288945 1076577890 2094146699 2153155780 4188293398 8376586796 10470733495 20941466990 41882933980 500501061061 1001002122122 2002004244244 2502505305305 5005010610610 10010021221220