Search a number
-
+
1000220111022 = 2311192334679291
BaseRepresentation
bin11101000111000011100…
…00111011000010101110
310112121202001121020001010
432203201300323002232
5112341422322023042
62043254512130050
7132156246444066
oct16434160730256
93477661536033
101000220111022
113562111a4630
12141a23836926
1373421a74952
14365a77823a6
151b040c4459c
hexe8e1c3b0ae

1000220111022 has 64 divisors (see below), whose sum is σ = 2397032663040. Its totient is φ = 274659976800.

The previous prime is 1000220111021. The next prime is 1000220111087. The reversal of 1000220111022 is 2201110220001.

1000220111022 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 = 1000220110989 and 1000220111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000220111021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17310804 + ... + 17368487.

It is an arithmetic number, because the mean of its divisors is an integer number (37453635360).

Almost surely, 21000220111022 is an apocalyptic number.

1000220111022 is an abundant number, since it is smaller than the sum of its proper divisors (1396812552018).

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

1000220111022 is a wasteful number, since it uses less digits than its factorization.

1000220111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34679349.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000220111022 its reverse (2201110220001), we get a palindrome (3201330331023).

The spelling of 1000220111022 in words is "one trillion, two hundred twenty million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2622 4807 9614 14421 28842 34679291 69358582 104037873 208075746 381472201 658906529 762944402 797623693 1144416603 1317813058 1595247386 1976719587 2288833206 2392871079 3953439174 4785742158 7247971819 8773860623 14495943638 15154850167 17547721246 21743915457 26321581869 30309700334 43487830914 45464550501 52643163738 90929101002 166703351837 333406703674 500110055511 1000220111022