Search a number
-
+
122244410420 = 22511800969379
BaseRepresentation
bin111000111011001010…
…1011010110000110100
3102200112102102110210022
41301312111122300310
54000324032113140
6132054105544312
711555221226006
oct1616625326064
9380472373708
10122244410420
1147930867970
121b8374a5098
13b6b2197b82
145cb9464376
1532a70460b5
hex1c7655ac34

122244410420 has 48 divisors (see below), whose sum is σ = 280089835200. Its totient is φ = 44446321920.

The previous prime is 122244410399. The next prime is 122244410437. The reversal of 122244410420 is 24014442221.

It is a happy number.

122244410420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122244410420.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1727291 + ... + 1796669.

It is an arithmetic number, because the mean of its divisors is an integer number (5835204900).

Almost surely, 2122244410420 is an apocalyptic number.

122244410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122244410420 is an abundant number, since it is smaller than the sum of its proper divisors (157845424780).

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

122244410420 is a wasteful number, since it uses less digits than its factorization.

122244410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77408 (or 77406 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 122244410420 its reverse (24014442221), we get a palindrome (146258852641).

The spelling of 122244410420 in words is "one hundred twenty-two billion, two hundred forty-four million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 8009 16018 32036 40045 69379 80090 88099 138758 160180 176198 277516 346895 352396 440495 693790 763169 880990 1387580 1526338 1761980 3052676 3815845 7631690 15263380 555656411 1111312822 2222625644 2778282055 5556564110 6112220521 11113128220 12224441042 24448882084 30561102605 61122205210 122244410420