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21222022111100 = 2252299241791899
BaseRepresentation
bin1001101001101001000110…
…00101101101111101111100
32210010210202012122202211122
410310310203011231331330
510240200200130023400
6113045132401010112
74320145330414316
oct464644305557574
983123665582748
1021222022111100
116842233252148
122468b78323938
13bac2c71929c5
145352194407b6
1526c0780bb685
hex134d2316df7c

21222022111100 has 72 divisors (see below), whose sum is σ = 47644996098000. Its totient is φ = 8195194022400.

The previous prime is 21222022111079. The next prime is 21222022111111. The reversal of 21222022111100 is 111122022212.

It is a super-4 number, since 4×212220221111004 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

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, 26402951 + ... + 27194849.

Almost surely, 221222022111100 is an apocalyptic number.

21222022111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222022111100 is an abundant number, since it is smaller than the sum of its proper divisors (26422973986900).

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

21222022111100 is a wasteful number, since it uses less digits than its factorization.

21222022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801183 (or 801176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21222022111100 its reverse (111122022212), we get a palindrome (21333144133312).

The spelling of 21222022111100 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 9241 18482 36964 46205 92410 184820 231025 267989 462050 535978 791899 924100 1071956 1339945 1583798 2679890 3167596 3959495 5359780 6699725 7918990 13399450 15837980 19797475 22965071 26798900 39594950 45930142 79189900 91860284 114825355 229650710 459301420 574126775 1148253550 2296507100 7317938659 14635877318 29271754636 36589693295 73179386590 146358773180 182948466475 212220221111 365896932950 424440442222 731793865900 848880884444 1061101105555 2122202211110 4244404422220 5305505527775 10611011055550 21222022111100