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21222002201000 = 2353307174739569
BaseRepresentation
bin1001101001101001000011…
…11001110001000110101000
32210010210200211012020022112
410310310201321301012220
510240200130030413000
6113045130410141452
74320144666241346
oct464644171610650
983123624166275
1021222002201000
116842222a93417
122468b71721888
13bac2c3011493
1453521693a996
1526c076487235
hex134d21e711a8

21222002201000 has 128 divisors (see below), whose sum is σ = 49851020419200. Its totient is φ = 8456093107200.

The previous prime is 21222002200943. The next prime is 21222002201003. The reversal of 21222002201000 is 10220022212.

It is not an unprimeable number, because it can be changed into a prime (21222002201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536309216 + ... + 536348784.

It is an arithmetic number, because the mean of its divisors is an integer number (389461097025).

Almost surely, 221222002201000 is an apocalyptic number.

21222002201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222002201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24925510209600).

21222002201000 is an abundant number, since it is smaller than the sum of its proper divisors (28629018218200).

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

21222002201000 is a wasteful number, since it uses less digits than its factorization.

21222002201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41644 (or 41630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21222002201000 its reverse (10220022212), we get a palindrome (21232222223212).

The spelling of 21222002201000 in words is "twenty-one trillion, two hundred twenty-two billion, two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 500 614 1000 1228 1535 1747 2456 3070 3494 6140 6988 7675 8735 12280 13976 15350 17470 30700 34940 38375 39569 43675 61400 69880 76750 79138 87350 153500 158276 174700 197845 218375 307000 316552 349400 395690 436750 536329 791380 873500 989225 1072658 1582760 1747000 1978450 2145316 2681645 3956900 4290632 4946125 5363290 7913800 9892250 10726580 12147683 13408225 19784500 21453160 24295366 26816450 39569000 48590732 53632900 60738415 67041125 69127043 97181464 107265800 121476830 134082250 138254086 242953660 268164500 276508172 303692075 345635215 485907320 536329000 553016344 607384150 691270430 1214768300 1382540860 1518460375 1728176075 2429536600 2765081720 3036920750 3456352150 6073841500 6912704300 8640880375 12147683000 13825408600 17281760750 21222002201 34563521500 42444004402 69127043000 84888008804 106110011005 169776017608 212220022010 424440044020 530550055025 848880088040 1061100110050 2122200220100 2652750275125 4244400440200 5305500550250 10611001100500 21222002201000