Search a number
-
+
221120310012 = 22372376054949
BaseRepresentation
bin1100110111101111001…
…1000010101011111100
3210010202020212121011120
43031323303002223330
512110323244410022
6245325315350540
721655365423600
oct3157363025374
9703666777146
10221120310012
118585a717768
1236a308b2450
1317b0bb39034
14a9b90b1500
155b42738d5c
hex337bcc2afc

221120310012 has 36 divisors (see below), whose sum is σ = 600183700200. Its totient is φ = 63177231264.

The previous prime is 221120310011. The next prime is 221120310023. The reversal of 221120310012 is 210013021122.

221120310012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2211203100124 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221120309973 and 221120310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120310011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188026887 + ... + 188028062.

It is an arithmetic number, because the mean of its divisors is an integer number (16671769450).

Almost surely, 2221120310012 is an apocalyptic number.

It is an amenable number.

221120310012 is an abundant number, since it is smaller than the sum of its proper divisors (379063390188).

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

221120310012 is a wasteful number, since it uses less digits than its factorization.

221120310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376054970 (or 376054961 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221120310012 its reverse (210013021122), we get a palindrome (431133331134).

The spelling of 221120310012 in words is "two hundred twenty-one billion, one hundred twenty million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 376054949 752109898 1128164847 1504219796 2256329694 2632384643 4512659388 5264769286 7897153929 10529538572 15794307858 18426692501 31588615716 36853385002 55280077503 73706770004 110560155006 221120310012