Search a number
-
+
22011210211120 = 2451353399332551
BaseRepresentation
bin1010000000100111000100…
…10111011001111100110000
32212221020210002022002022021
411000103202113121330300
510341112424303223440
6114451451012521224
74431154210526134
oct500234227317460
985836702262267
1022011210211120
1170169a1373409
122575b05920214
13c38857193710
145614c389b3c4
152828670c784a
hex1404e25d9f30

22011210211120 has 80 divisors (see below), whose sum is σ = 56152546132032. Its totient is φ = 7973872358400.

The previous prime is 22011210211087. The next prime is 22011210211121. The reversal of 22011210211120 is 2111201211022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×220112102111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22011210211094 and 22011210211103.

It is not an unprimeable number, because it can be changed into a prime (22011210211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199611156 + ... + 199721395.

Almost surely, 222011210211120 is an apocalyptic number.

22011210211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011210211120 is an abundant number, since it is smaller than the sum of its proper divisors (34141335920912).

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

22011210211120 is a wasteful number, since it uses less digits than its factorization.

22011210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399332630 (or 399332624 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011210211120 its reverse (2111201211022), we get a palindrome (24122411422142).

The spelling of 22011210211120 in words is "twenty-two trillion, eleven billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2756 3445 4240 5512 6890 11024 13780 27560 55120 399332551 798665102 1597330204 1996662755 3194660408 3993325510 5191323163 6389320816 7986651020 10382646326 15973302040 20765292652 21164625203 25956615815 31946604080 41530585304 42329250406 51913231630 83061170608 84658500812 103826463260 105823126015 169317001624 207652926520 211646252030 275140127639 338634003248 415305853040 423292504060 550280255278 846585008120 1100560510556 1375700638195 1693170016240 2201121021112 2751401276390 4402242042224 5502802552780 11005605105560 22011210211120