Search a number
-
+
22133223212130 = 23251399371888199
BaseRepresentation
bin1010000100001010010101…
…11010000100010001100010
32220100220201101021202001200
411002011022322010101202
510400112320120242010
6115023510134542030
74443033622112142
oct502051272042142
986326641252050
1022133223212130
117063713544a28
122595697807916
13c47200427934
1456737a2c4922
15285b08b5ccc0
hex14214ae84462

22133223212130 has 96 divisors (see below), whose sum is σ = 58022271216000. Its totient is φ = 5853474222336.

The previous prime is 22133223212071. The next prime is 22133223212201. The reversal of 22133223212130 is 3121232233122.

22133223212130 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 322 + 321 + 2 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22133223212094 and 22133223212103.

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, 10777771 + ... + 12665969.

It is an arithmetic number, because the mean of its divisors is an integer number (604398658500).

Almost surely, 222133223212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133223212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29011135608000).

22133223212130 is an abundant number, since it is smaller than the sum of its proper divisors (35889048003870).

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

22133223212130 is a wasteful number, since it uses less digits than its factorization.

22133223212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889288 (or 1889285 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22133223212130 its reverse (3121232233122), we get a palindrome (25254455445252).

The spelling of 22133223212130 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred twenty-three million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 937 1251 1390 1874 2085 2502 2811 4170 4685 5622 6255 8433 9370 12510 14055 16866 28110 42165 84330 130243 260486 390729 651215 781458 1172187 1302430 1888199 1953645 2344374 3776398 3907290 5664597 5860935 9440995 11329194 11721870 16993791 18881990 28322985 33987582 56645970 84968955 169937910 262459661 524919322 787378983 1312298305 1574757966 1769242463 2362136949 2624596610 3538484926 3936894915 4724273898 5307727389 7873789830 8846212315 10615454778 11810684745 15923182167 17692424630 23621369490 26538636945 31846364334 53077273890 79615910835 159231821670 245924702357 491849404714 737774107071 1229623511785 1475548214142 2213322321213 2459247023570 3688870535355 4426644642426 7377741070710 11066611606065 22133223212130