Search a number
-
+
12221242341 = 372117557973
BaseRepresentation
bin10110110000111000…
…10101101111100101
31011112201102102210020
423120130111233211
5200012114223331
65340411345353
7611565563100
oct133034255745
934481372706
1012221242341
115201633290
122450a52259
1311c9c48859
1483d16d737
154b7dc3c96
hex2d8715be5

12221242341 has 24 divisors (see below), whose sum is σ = 20678616864. Its totient is φ = 6348696480.

The previous prime is 12221242279. The next prime is 12221242357. The reversal of 12221242341 is 14324212221.

It is not a de Polignac number, because 12221242341 - 218 = 12220980197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221242381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3777370 + ... + 3780603.

It is an arithmetic number, because the mean of its divisors is an integer number (861609036).

Almost surely, 212221242341 is an apocalyptic number.

12221242341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221242341 is a deficient number, since it is larger than the sum of its proper divisors (8457374523).

12221242341 is a wasteful number, since it uses less digits than its factorization.

12221242341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558001 (or 7557994 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12221242341 its reverse (14324212221), we get a palindrome (26545454562).

The spelling of 12221242341 in words is "twelve billion, two hundred twenty-one million, two hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 7557973 22673919 52905811 83137703 158717433 249413109 370340677 581963921 1111022031 1745891763 4073747447 12221242341