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21223122321330 = 23251013232786249
BaseRepresentation
bin1001101001101011001001…
…01010101011111110110010
32210010220120212220020112200
410310311210222223332302
510240204423303240310
6113045433502204030
74320214520144316
oct464654452537662
983126525806480
1021223122321330
1168427482a03a6
122469224883616
13bac4410b8287
145352c15d5b46
1526c0de9949c0
hex134d64aabfb2

21223122321330 has 48 divisors (see below), whose sum is σ = 55234590255000. Its totient is φ = 5653912391424.

The previous prime is 21223122321293. The next prime is 21223122321353. The reversal of 21223122321330 is 3312322132212.

21223122321330 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 1 + 2 + 2 + 321 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9084455205849 + 12138667115481 = 3014043^2 + 3484059^2 .

It is a super-2 number, since 2×212231223213302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21223122321294 and 21223122321303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116301955 + ... + 116484294.

Almost surely, 221223122321330 is an apocalyptic number.

21223122321330 is an abundant number, since it is smaller than the sum of its proper divisors (34011467933670).

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

21223122321330 is a wasteful number, since it uses less digits than its factorization.

21223122321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232787275 (or 232787272 counting only the distinct ones).

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

Adding to 21223122321330 its reverse (3312322132212), we get a palindrome (24535444453542).

The spelling of 21223122321330 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1013 2026 3039 5065 6078 9117 10130 15195 18234 30390 45585 91170 232786249 465572498 698358747 1163931245 1396717494 2095076241 2327862490 3491793735 4190152482 6983587470 10475381205 20950762410 235812470237 471624940474 707437410711 1179062351185 1414874821422 2122312232133 2358124702370 3537187053555 4244624464266 7074374107110 10611561160665 21223122321330