Search a number
-
+
122241030444 = 22351356317183
BaseRepresentation
bin111000111011000100…
…0100001100100101100
3102200112012001202100000
41301312020201210230
54000322200433234
6132053505304300
711555150420601
oct1616610414454
9380465052300
10122241030444
11479299694a5
121b836335090
13b6b15835a0
145cb8c246a8
1532a6ac9899
hex1c7622192c

122241030444 has 144 divisors (see below), whose sum is σ = 345725033472. Its totient is φ = 37543632192.

The previous prime is 122241030413. The next prime is 122241030449. The reversal of 122241030444 is 444030142221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122241030449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7105477 + ... + 7122659.

It is an arithmetic number, because the mean of its divisors is an integer number (2400868288).

Almost surely, 2122241030444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122241030444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172862516736).

122241030444 is an abundant number, since it is smaller than the sum of its proper divisors (223484003028).

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

122241030444 is a wasteful number, since it uses less digits than its factorization.

122241030444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17764 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122241030444 its reverse (444030142221), we get a palindrome (566271172665).

The spelling of 122241030444 in words is "one hundred twenty-two billion, two hundred forty-one million, thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 563 702 972 1053 1126 1404 1689 2106 2252 3159 3378 4212 5067 6318 6756 7319 10134 12636 14638 15201 17183 20268 21957 29276 30402 34366 43914 45603 51549 60804 65871 68732 87828 91206 103098 131742 136809 154647 182412 197613 206196 223379 263484 273618 309294 395226 446758 463941 547236 592839 618588 670137 790452 893516 927882 1185678 1340274 1391823 1778517 1855764 2010411 2371356 2680548 2783646 3557034 4020822 4175469 5567292 6031233 7114068 8041644 8350938 9674029 12062466 16701876 18093699 19348058 24124932 29022087 36187398 38696116 54281097 58044174 72374796 87066261 108562194 116088348 125762377 174132522 217124388 251524754 261198783 348265044 377287131 503049508 522397566 754574262 783596349 1044795132 1131861393 1509148524 1567192698 2263722786 2350789047 3134385396 3395584179 4527445572 4701578094 6791168358 9403156188 10186752537 13582336716 20373505074 30560257611 40747010148 61120515222 122241030444