Search a number
-
+
122302144404 = 223311245720479
BaseRepresentation
bin111000111100111000…
…1101001111110010100
3102200200110001122221000
41301321301221332110
54000433322110104
6132103531223300
711556522034446
oct1617161517624
9380613048830
10122302144404
1147960410300
121b8528a7b30
13b6c11305ab
145cc2db2496
1532ac14c639
hex1c79c69f94

122302144404 has 144 divisors (see below), whose sum is σ = 349305241600. Its totient is φ = 36978353280.

The previous prime is 122302144387. The next prime is 122302144417. The reversal of 122302144404 is 404441203221.

122302144404 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 214 + 440 + 4 = 666.

It is a super-4 number, since 4×1223021444044 (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5961837 + ... + 5982315.

Almost surely, 2122302144404 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 122302144404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174652620800).

122302144404 is an abundant number, since it is smaller than the sum of its proper divisors (227003097196).

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

122302144404 is a wasteful number, since it uses less digits than its factorization.

122302144404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20952 counting only the distinct ones).

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

Adding to 122302144404 its reverse (404441203221), we get a palindrome (526743347625).

The spelling of 122302144404 in words is "one hundred twenty-two billion, three hundred two million, one hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 457 484 594 726 914 1089 1188 1371 1452 1828 2178 2742 3267 4113 4356 5027 5484 6534 8226 10054 12339 13068 15081 16452 20108 20479 24678 30162 40958 45243 49356 55297 60324 61437 81916 90486 110594 122874 135729 165891 180972 184311 221188 225269 245748 271458 331782 368622 450538 497673 542916 552933 663564 675807 737244 901076 995346 1105866 1351614 1493019 1990692 2027421 2211732 2477959 2703228 2986038 4054842 4955918 5972076 6082263 7433877 8109684 9358903 9911836 12164526 14867754 18717806 22301631 24329052 28076709 29735508 37435612 44603262 56153418 66904893 84230127 89206524 102947933 112306836 133809786 168460254 205895866 252690381 267619572 308843799 336920508 411791732 505380762 617687598 926531397 1010761524 1132427263 1235375196 1853062794 2264854526 2779594191 3397281789 3706125588 4529709052 5559188382 6794563578 10191845367 11118376764 13589127156 20383690734 30575536101 40767381468 61151072202 122302144404