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11210211020010 = 23529383145923059
BaseRepresentation
bin1010001100100001010010…
…1001010100110011101010
31110200200111212202220222010
42203020110221110303222
52432132003010120020
635501522211140350
72234624323315062
oct243102451246352
943620455686863
1011210211020010
113632250964622
121310744ba46b6
136341700758b2
142aa81182a3a2
1514690b2c0de0
hexa3214a54cea

11210211020010 has 128 divisors (see below), whose sum is σ = 27925254144000. Its totient is φ = 2876673284352.

The previous prime is 11210211020009. The next prime is 11210211020081. The reversal of 11210211020010 is 1002011201211.

It is a super-2 number, since 2×112102110200102 (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 486141861 + ... + 486164919.

It is an arithmetic number, because the mean of its divisors is an integer number (218166048000).

Almost surely, 211210211020010 is an apocalyptic number.

11210211020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210211020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962627072000).

11210211020010 is an abundant number, since it is smaller than the sum of its proper divisors (16715043123990).

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

11210211020010 is a wasteful number, since it uses less digits than its factorization.

11210211020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24940.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210211020010 its reverse (1002011201211), we get a palindrome (12212222221221).

The spelling of 11210211020010 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 383 435 766 870 1149 1459 1915 2298 2918 3830 4377 5745 7295 8754 11107 11490 14590 21885 22214 23059 33321 42311 43770 46118 55535 66642 69177 84622 111070 115295 126933 138354 166605 211555 230590 253866 333210 345885 423110 558797 634665 668711 691770 1117594 1269330 1337422 1676391 2006133 2793985 3343555 3352782 4012266 5587970 6687110 8381955 8831597 10030665 16205113 16763910 17663194 20061330 26494791 32410226 33643081 44157985 48615339 52989582 67286162 81025565 88315970 97230678 100929243 132473955 162051130 168215405 201858486 243076695 256116313 264947910 336430810 486153390 504646215 512232626 768348939 975649349 1009292430 1280581565 1536697878 1951298698 2561163130 2926948047 3841744695 4878246745 5853896094 7683489390 9756493490 12885300023 14634740235 25770600046 29269480470 38655900069 64426500115 77311800138 128853000230 193279500345 373673700667 386559000690 747347401334 1121021102001 1868368503335 2242042204002 3736737006670 5605105510005 11210211020010