Search a number
-
+
21322313233110 = 2335373496115661
BaseRepresentation
bin1001101100100011111001…
…11001111111001011010110
32210111101121200002122102000
410312101330321333023112
510243321044141424420
6113203200243500130
74330325541035121
oct466217471771326
983441550078360
1021322313233110
116880818a4854a
1224844a7687646
13bb88bb0b2296
1453a0110033b8
1526e997b5e690
hex13647ce7f2d6

21322313233110 has 128 divisors (see below), whose sum is σ = 58563579312000. Its totient is φ = 5516423170560.

The previous prime is 21322313233063. The next prime is 21322313233127. The reversal of 21322313233110 is 1133231322312.

21322313233110 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 313 + 2 + 331 + 10 = 666.

It is a super-2 number, since 2×213223132331102 (a number of 27 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 428680 + ... + 6544340.

It is an arithmetic number, because the mean of its divisors is an integer number (457527963375).

Almost surely, 221322313233110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322313233110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29281789656000).

21322313233110 is an abundant number, since it is smaller than the sum of its proper divisors (37241266078890).

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

21322313233110 is a wasteful number, since it uses less digits than its factorization.

21322313233110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116063 (or 6116057 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21322313233110 its reverse (1133231322312), we get a palindrome (22455544555422).

The spelling of 21322313233110 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 349 370 555 666 698 999 1047 1110 1665 1745 1998 2094 3141 3330 3490 4995 5235 6282 9423 9990 10470 12913 15705 18846 25826 31410 38739 47115 64565 77478 94230 116217 129130 193695 232434 348651 387390 581085 697302 1162170 1743255 3486510 6115661 12231322 18346983 30578305 36693966 55040949 61156610 91734915 110081898 165122847 183469830 226279457 275204745 330245694 452558914 550409490 678838371 825614235 1131397285 1357676742 1651228470 2036515113 2134365689 2262794570 3394191855 4073030226 4268731378 6109545339 6403097067 6788383710 10182575565 10671828445 12219090678 12806194134 19209291201 20365151130 21343656890 30547726695 32015485335 38418582402 57627873603 61095453390 64030970670 78971530493 96046456005 115255747206 157943060986 192092912010 236914591479 288139368015 394857652465 473829182958 576278736030 710743774437 789715304930 1184572957395 1421487548874 2132231323311 2369145914790 3553718872185 4264462646622 7107437744370 10661156616555 21322313233110