Search a number
-
+
11210102222020 = 225131731811376929
BaseRepresentation
bin1010001100100000111000…
…1010010010110011000100
31110200200020022001102011221
42203020032022102303010
52432131242132101040
635501503323210124
72234621532460552
oct243101612226304
943620208042157
1011210102222020
1136321a5504029
121310714676944
136341536716a0
142aa8011c8bd2
1514690197e74a
hexa320e292cc4

11210102222020 has 96 divisors (see below), whose sum is σ = 25639516113120. Its totient is φ = 4092450324480.

The previous prime is 11210102221993. The next prime is 11210102222027. The reversal of 11210102222020 is 2022220101211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2745808074304 + 8464294147716 = 1657048^2 + 2909346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11210102221985 and 11210102222003.

It is not an unprimeable number, because it can be changed into a prime (11210102222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7452916 + ... + 8829844.

It is an arithmetic number, because the mean of its divisors is an integer number (267078292845).

Almost surely, 211210102222020 is an apocalyptic number.

11210102222020 is a gapful number since it is divisible by the number (10) 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 11210102222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819758056560).

11210102222020 is an abundant number, since it is smaller than the sum of its proper divisors (14429413891100).

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

11210102222020 is a wasteful number, since it uses less digits than its factorization.

11210102222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377305 (or 1377303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11210102222020 its reverse (2022220101211), we get a palindrome (13232322323231).

The spelling of 11210102222020 in words is "eleven trillion, two hundred ten billion, one hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 181 260 346 362 692 724 865 905 1730 1810 2249 2353 3460 3620 4498 4706 8996 9412 11245 11765 22490 23530 31313 44980 47060 62626 125252 156565 313130 407069 626260 814138 1376929 1628276 2035345 2753858 4070690 5507716 6884645 8141380 13769290 17900077 27538580 35800154 71600308 89500385 179000770 238208717 249224149 358001540 476417434 498448298 952834868 996896596 1191043585 1246120745 2382087170 2492241490 3096713321 3239913937 4764174340 4984482980 6193426642 6479827874 12386853284 12959655748 15483566605 16199569685 30967133210 32399139370 43115777777 61934266420 64798278740 86231555554 172463111108 215578888885 431157777770 560505111101 862315555540 1121010222202 2242020444404 2802525555505 5605051111010 11210102222020