Search a number
-
+
12220413141 = 3191061320201
BaseRepresentation
bin10110110000110010…
…01011010011010101
31011112122212022100010
423120121023103111
5200011411210031
65340341510433
7611555540436
oct133031132325
934478768303
1012220413141
1152011172a2
122450712419
1311c9a182c1
1483cdd548d
154b7cad246
hex2d864b4d5

12220413141 has 16 divisors (see below), whose sum is σ = 17153922240. Its totient is φ = 7717046400.

The previous prime is 12220413131. The next prime is 12220413143. The reversal of 12220413141 is 14131402221.

12220413141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12220413141 - 26 = 12220413077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220413143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594841 + ... + 615041.

It is an arithmetic number, because the mean of its divisors is an integer number (1072120140).

Almost surely, 212220413141 is an apocalyptic number.

It is an amenable number.

12220413141 is a deficient number, since it is larger than the sum of its proper divisors (4933509099).

12220413141 is a wasteful number, since it uses less digits than its factorization.

12220413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30836.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12220413141 its reverse (14131402221), we get a palindrome (26351815362).

The spelling of 12220413141 in words is "twelve billion, two hundred twenty million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 19 57 10613 20201 31839 60603 201647 383819 604941 1151457 214393213 643179639 4073471047 12220413141