Search a number
-
+
21220210011110 = 251123107109719149
BaseRepresentation
bin1001101001100101101110…
…00101000110101111100110
32210010122001220212112222012
410310302313011012233212
510240132442230323420
6113044232505234222
74320052405003055
oct464626705065746
983118056775865
1021220210011110
116841493383650
122468751492972
13bac0989272a6
145350c68d839c
1526bebde72dc5
hex134cb7146be6

21220210011110 has 128 divisors (see below), whose sum is σ = 44289514368000. Its totient is φ = 7244869547520.

The previous prime is 21220210011103. The next prime is 21220210011113. The reversal of 21220210011110 is 1111001202212.

It is a super-2 number, since 2×212202100111102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220210011113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29147816 + ... + 29866964.

It is an arithmetic number, because the mean of its divisors is an integer number (346011831000).

Almost surely, 221220210011110 is an apocalyptic number.

21220210011110 is an abundant number, since it is smaller than the sum of its proper divisors (23069304356890).

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

21220210011110 is a wasteful number, since it uses less digits than its factorization.

21220210011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719406.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21220210011110 its reverse (1111001202212), we get a palindrome (22331211213322).

The spelling of 21220210011110 in words is "twenty-one trillion, two hundred twenty billion, two hundred ten million, eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 107 109 110 115 214 218 230 253 506 535 545 1070 1090 1177 1199 1265 2354 2398 2461 2507 2530 4922 5014 5885 5995 11663 11770 11990 12305 12535 23326 24610 25070 27071 27577 54142 55154 58315 116630 128293 135355 137885 256586 268249 270710 275770 536498 641465 719149 1282930 1341245 1438298 2682490 2950739 3595745 5901478 7191490 7910639 14753695 15821278 16540427 29507390 33080854 39553195 76948943 78387241 79106390 82702135 153897886 156774482 165404270 181944697 363889394 384744715 391936205 769489430 783872410 846438373 862259651 909723485 1692876746 1724519302 1769825689 1802906543 1819446970 3539651378 3605813086 4232191865 4311298255 8387434787 8464383730 8622596510 8849128445 9014532715 16774869574 17698256890 18029065430 19468082579 19831971973 38936165158 39663943946 41937173935 83874347870 92261782657 97340412895 99159859865 184523565314 192911000101 194680825790 198319719730 385822000202 461308913285 922617826570 964555000505 1929110001010 2122021001111 4244042002222 10610105005555 21220210011110