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11210010000020 = 225131011313258667
BaseRepresentation
bin1010001100100000100010…
…1010011111101010010100
31110200122222212112001101022
42203020020222133222110
52432131100030000040
635501450230420312
72234616332552006
oct243101052375224
943618885461338
1011210010000020
1136321584452a7
1213106a9801698
1363413a522260
142aa7d2c60376
151468e88146b5
hexa3208a9fa94

11210010000020 has 96 divisors (see below), whose sum is σ = 25798327099776. Its totient is φ = 4066815168000.

The previous prime is 11210009999999. The next prime is 11210010000037. The reversal of 11210010000020 is 2000001001211.

It is a junction number, because it is equal to n+sod(n) for n = 11210009999962 and 11210010000007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810727 + ... + 5069393.

It is an arithmetic number, because the mean of its divisors is an integer number (268732573956).

Almost surely, 211210010000020 is an apocalyptic number.

11210010000020 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 11210010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899163549888).

11210010000020 is an abundant number, since it is smaller than the sum of its proper divisors (14588317099756).

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

11210010000020 is a wasteful number, since it uses less digits than its factorization.

11210010000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258921 (or 3258919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11210010000020 its reverse (2000001001211), we get a palindrome (13210011001231).

The spelling of 11210010000020 in words is "eleven trillion, two hundred ten billion, ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 131 202 260 262 404 505 524 655 1010 1310 1313 1703 2020 2620 2626 3406 5252 6565 6812 8515 13130 13231 17030 26260 26462 34060 52924 66155 132310 172003 264620 344006 688012 860015 1720030 3258667 3440060 6517334 13034668 16293335 32586670 42362671 65173340 84725342 169450684 211813355 329125367 423626710 426885377 658250734 847253420 853770754 1316501468 1645626835 1707541508 2134426885 3291253670 4268853770 4278629771 5549509901 6582507340 8537707540 8557259542 11099019802 17114519084 21393148855 22198039604 27747549505 42786297710 43115423077 55495099010 85572595420 86230846154 110990198020 172461692308 215577115385 431154230770 560500500001 862308461540 1121001000002 2242002000004 2802502500005 5605005000010 11210010000020