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21242430210210 = 23511233313882653
BaseRepresentation
bin1001101010001111000111…
…00000011100000010100010
32210012202102111002121211020
410311013203200130002202
510241013444113211320
6113102345425230310
74321500136404456
oct465074340340242
983182374077736
1021242430210210
11684a956079060
122470b12a92396
13bb11ca2864b1
145361d39d8666
1526c86ea9a940
hex1351e381c0a2

21242430210210 has 128 divisors (see below), whose sum is σ = 56033756902656. Its totient is φ = 5111190589440.

The previous prime is 21242430210181. The next prime is 21242430210257. The reversal of 21242430210210 is 1201203424212.

It is a Curzon 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, 23625244 + ... + 24507896.

It is an arithmetic number, because the mean of its divisors is an integer number (437763725802).

Almost surely, 221242430210210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21242430210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28016878451328).

21242430210210 is an abundant number, since it is smaller than the sum of its proper divisors (34791326692446).

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

21242430210210 is a wasteful number, since it uses less digits than its factorization.

21242430210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883220.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21242430210210 its reverse (1201203424212), we get a palindrome (22443633634422).

The spelling of 21242430210210 in words is "twenty-one trillion, two hundred forty-two billion, four hundred thirty million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 313 330 466 626 699 939 1165 1398 1565 1878 2330 2563 3130 3443 3495 4695 5126 6886 6990 7689 9390 10329 12815 15378 17215 20658 25630 34430 38445 51645 72929 76890 103290 145858 218787 364645 437574 729290 802219 882653 1093935 1604438 1765306 2187870 2406657 2647959 4011095 4413265 4813314 5295918 8022190 8826530 9709183 12033285 13239795 19418366 24066570 26479590 29127549 48545915 58255098 97091830 145637745 205658149 276270389 291275490 411316298 552540778 616974447 828811167 1028290745 1233948894 1381351945 1657622334 2056581490 2262239639 2762703890 3038974279 3084872235 4144055835 4524479278 6077948558 6169744470 6786718917 8288111670 9116922837 11311198195 13573437834 15194871395 18233845674 22622396390 30389742790 33933594585 45584614185 64371000637 67867189170 91169228370 128742001274 193113001911 321855003185 386226003822 643710006370 708081007007 965565009555 1416162014014 1931130019110 2124243021021 3540405035035 4248486042042 7080810070070 10621215105105 21242430210210