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11210211212048 = 24172912911100831
BaseRepresentation
bin1010001100100001010010…
…1010000011101100010000
31110200200111220010200101122
42203020110222003230100
52432132003032241143
635501522215221412
72234624325045002
oct243102452035420
943620456120348
1011210211212048
113632250a85932
121310745077868
13634170112124
142aa81187a372
1514690b30cc68
hexa3214a83b10

11210211212048 has 80 divisors (see below), whose sum is σ = 23808882562560. Its totient is φ = 5089533388800.

The previous prime is 11210211212047. The next prime is 11210211212129. The reversal of 11210211212048 is 84021211201211.

It is not an unprimeable number, because it can be changed into a prime (11210211212047) 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, 9632993 + ... + 10733823.

It is an arithmetic number, because the mean of its divisors is an integer number (297611032032).

Almost surely, 211210211212048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210211212048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904441281280).

11210211212048 is an abundant number, since it is smaller than the sum of its proper divisors (12598671350512).

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

11210211212048 is a wasteful number, since it uses less digits than its factorization.

11210211212048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102176 (or 1102170 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

Adding to 11210211212048 its reverse (84021211201211), we get a palindrome (95231422413259).

The spelling of 11210211212048 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, two hundred twelve thousand, forty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1291 1972 2582 3944 5164 7888 10328 20656 21947 37439 43894 74878 87788 149756 175576 299512 351152 599024 636463 1100831 1272926 2201662 2545852 4403324 5091704 8806648 10183408 17613296 18714127 31924099 37428254 63848198 74856508 127696396 149713016 255392792 299426032 510785584 542709683 1085419366 1421172821 2170838732 2842345642 4341677464 5684691284 8683354928 11369382568 22738765136 24159937957 41214011809 48319875914 82428023618 96639751828 164856047236 193279503656 329712094472 386559007312 659424188944 700638200753 1401276401506 2802552803012 5605105606024 11210211212048