Search a number
-
+
22203212312124 = 223261421117120509
BaseRepresentation
bin1010000110001100101101…
…00101010010111000111100
32220121121101001010101221100
411003012112211102320330
510402234134322441444
6115120003120133100
74451062204463304
oct503062645227074
986547331111840
1022203212312124
117090369571728
1225a716aa67190
13c509a5526b7c
1456a8d96a0604
15287853318e69
hex143196952e3c

22203212312124 has 144 divisors (see below), whose sum is σ = 57231984453280. Its totient is φ = 7255894464000.

The previous prime is 22203212312119. The next prime is 22203212312159. The reversal of 22203212312124 is 42121321230222.

22203212312124 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 321 + 2 + 312 + 1 + 24 = 666.

It is a super-3 number, since 3×222032123121243 (a number of 41 digits) contains 333 as substring.

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, 1082597982 + ... + 1082618490.

Almost surely, 222203212312124 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 22203212312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615992226640).

22203212312124 is an abundant number, since it is smaller than the sum of its proper divisors (35028772141156).

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

22203212312124 is a wasteful number, since it uses less digits than its factorization.

22203212312124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22172 (or 22167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22203212312124 its reverse (42121321230222), we get a palindrome (64324533542346).

The spelling of 22203212312124 in words is "twenty-two trillion, two hundred three billion, two hundred twelve million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 421 549 732 842 1098 1171 1263 1684 2196 2342 2526 3513 3789 4684 5052 7026 7578 10539 14052 15156 20509 21078 25681 41018 42156 51362 61527 71431 77043 82036 102724 123054 142862 154086 184581 214293 231129 246108 285724 308172 369162 428586 462258 492991 642879 738324 857172 924516 985982 1251049 1285758 1478973 1971964 2502098 2571516 2957946 3753147 4436919 5004196 5915892 7506294 8634289 8873838 11259441 15012588 17268578 17747676 22518882 24016039 25902867 30072451 34537156 45037764 48032078 51805734 60144902 72048117 77708601 90217353 96064156 103611468 120289804 144096234 155417202 180434706 216144351 270652059 288192468 310834404 360869412 432288702 526691629 541304118 864577404 1053383258 1082608236 1464978379 1580074887 2106766516 2929956758 3160149774 4394935137 4740224661 5859913516 6320299548 8789870274 9480449322 10110752419 13184805411 17579740548 18960898644 20221504838 26369610822 30332257257 40443009676 52739221644 60664514514 90996771771 121329029028 181993543542 363987087084 616755897559 1233511795118 1850267692677 2467023590236 3700535385354 5550803078031 7401070770708 11101606156062 22203212312124