Search a number
-
+
122421301030144 = 28974929981517
BaseRepresentation
bin11011110101011101101110…
…001010010010110100000000
3121001110100202221211200222201
4123311131232022102310000
5112021222311030431034
61112211322545042544
734533434651311024
oct3365355612226400
9531410687750881
10122421301030144
1136009644a07636
121189209a026454
1353403823b2b0c
142233318ab6384
15e246d40dd014
hex6f576e292d00

122421301030144 has 36 divisors (see below), whose sum is σ = 246883614458404. Its totient is φ = 60579612868608.

The previous prime is 122421301030109. The next prime is 122421301030181. The reversal of 122421301030144 is 441030103124221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96181171840000 + 26240129190144 = 9807200^2 + 5122512^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2464965927 + ... + 2465015590.

Almost surely, 2122421301030144 is an apocalyptic number.

It is an amenable number.

122421301030144 is an abundant number, since it is smaller than the sum of its proper divisors (124462313428260).

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

122421301030144 is an frugal number, since it uses more digits than its factorization.

122421301030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929981630 (or 4929981616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 122421301030144 its reverse (441030103124221), we get a palindrome (563451404154365).

The spelling of 122421301030144 in words is "one hundred twenty-two trillion, four hundred twenty-one billion, three hundred one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 6208 12416 24832 4929981517 9859963034 19719926068 39439852136 78879704272 157759408544 315518817088 478208207149 631037634176 956416414298 1262075268352 1912832828596 3825665657192 7651331314384 15302662628768 30605325257536 61210650515072 122421301030144