Search a number
-
+
11210022210222 = 23311163263440227
BaseRepresentation
bin1010001100100000100101…
…1001000100101010101110
31110200200000201111101122000
42203020021121010222232
52432131111141211342
635501451344233130
72234616541415163
oct243101131045256
943620021441560
1011210022210222
113632164324a80
1213106b190b7a6
1363413cc08b24
142aa7d471c06a
151468e992744c
hexa3209644aae

11210022210222 has 128 divisors (see below), whose sum is σ = 27446560542720. Its totient is φ = 3363291421920.

The previous prime is 11210022210209. The next prime is 11210022210223. The reversal of 11210022210222 is 22201222001211.

It is a happy number.

11210022210222 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 22 + 210 + 222 = 666.

It is a super-2 number, since 2×112100222102222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11210022210195 and 11210022210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210022210223) 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, 25244073 + ... + 25684299.

It is an arithmetic number, because the mean of its divisors is an integer number (214426254240).

Almost surely, 211210022210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210022210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723280271360).

11210022210222 is an abundant number, since it is smaller than the sum of its proper divisors (16236538332498).

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

11210022210222 is a wasteful number, since it uses less digits than its factorization.

11210022210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440675 (or 440669 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11210022210222 its reverse (22201222001211), we get a palindrome (33411244211433).

It can be divided in two parts, 112100 and 22210222, that added together give a palindrome (22322322).

The spelling of 11210022210222 in words is "eleven trillion, two hundred ten billion, twenty-two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 263 297 326 489 526 594 789 978 1467 1578 1793 2367 2893 2934 3586 4401 4734 5379 5786 7101 8679 8802 10758 14202 16137 17358 26037 32274 42869 48411 52074 78111 85738 96822 128607 156222 257214 385821 440227 471559 771642 880454 943118 1157463 1320681 1414677 2314926 2641362 2829354 3962043 4244031 4842497 7924086 8488062 9684994 11886129 12732093 14527491 23772258 25464186 29054982 43582473 71757001 87164946 115779701 130747419 143514002 215271003 231559402 261494838 347339103 430542006 645813009 694678206 789327011 1042017309 1273576711 1291626018 1578654022 1937439027 2084034618 2367981033 2547153422 3126051927 3820730133 3874878054 4735962066 6252103854 7103943099 7641460266 11462190399 14207886198 18872091263 21311829297 22924380798 34386571197 37744182526 42623658594 56616273789 68773142394 113232547578 169848821367 207593003893 339697642734 415186007786 509546464101 622779011679 1019092928202 1245558023358 1868337035037 3736674070074 5605011105111 11210022210222