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11002110202122 = 231317291312184053
BaseRepresentation
bin1010000000011010000011…
…0111101101000100001010
31102221210100222101001102120
42200012200313231010022
52420224310202431442
635222144420312110
72213606355461154
oct240064067550412
942853328331376
1011002110202122
113561a72426006
121298348542636
1361a657674770
142a070d919ad4
151412cba894ec
hexa01a0ded10a

11002110202122 has 128 divisors (see below), whose sum is σ = 26154134012160. Its totient is φ = 3052780523520.

The previous prime is 11002110202099. The next prime is 11002110202147. The reversal of 11002110202122 is 22120201120011.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3945448 + ... + 6129500.

It is an arithmetic number, because the mean of its divisors is an integer number (204329171970).

Almost surely, 211002110202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002110202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077067006080).

11002110202122 is an abundant number, since it is smaller than the sum of its proper divisors (15152023810038).

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

11002110202122 is a wasteful number, since it uses less digits than its factorization.

11002110202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184248.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11002110202122 its reverse (22120201120011), we get a palindrome (33122311322133).

The spelling of 11002110202122 in words is "eleven trillion, two billion, one hundred ten million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 131 174 221 262 377 393 442 493 663 754 786 986 1131 1326 1479 1703 2227 2262 2958 3406 3799 4454 5109 6409 6681 7598 10218 11397 12818 13362 19227 22794 28951 38454 49387 57902 64583 86853 98774 129166 148161 173706 193749 296322 387498 839579 1679158 2184053 2518737 4368106 5037474 6552159 13104318 28392689 37128901 56785378 63337537 74257802 85178067 111386703 126675074 170356134 190012611 222773406 286110943 380025222 482675713 572221886 823387981 858332829 965351426 1076738129 1448027139 1646775962 1716665658 2153476258 2470163943 2896054278 3230214387 3719442259 4863886031 4940327886 6460428774 7438884518 8297217347 9727772062 11158326777 13997595677 14591658093 16594434694 22316653554 24891652041 27995191354 29183316186 41992787031 49783304082 63230518403 83985574062 107863825511 126461036806 141052694899 189691555209 215727651022 282105389798 323591476533 379383110418 423158084697 647182953066 846316169394 1833685033687 3667370067374 5501055101061 11002110202122