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11021255212011 = 3116110007547121
BaseRepresentation
bin1010000001100001011000…
…0000000111101111101011
31110000121210020002022201220
42200120112000013233223
52421033012313241021
635235032244313123
72215154656411422
oct240302600075753
943017706068656
1011021255212011
11356a0a7275330
12129bbb00a27a3
1361c3b8b84995
142a16084402b9
15141a4c719cc6
hexa0616007beb

11021255212011 has 32 divisors (see below), whose sum is σ = 16295376600576. Its totient is φ = 6569379264000.

The previous prime is 11021255212003. The next prime is 11021255212031.

11021255212011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11021255212011 - 23 = 11021255212003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11021255212031) by changing a digit.

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, 19870531 + ... + 20417651.

It is an arithmetic number, because the mean of its divisors is an integer number (509230518768).

Almost surely, 211021255212011 is an apocalyptic number.

11021255212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11021255212011 is a deficient number, since it is larger than the sum of its proper divisors (5274121388565).

11021255212011 is a wasteful number, since it uses less digits than its factorization.

11021255212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557203.

The product of its (nonzero) digits is 400, while the sum is 24.

It can be divided in two parts, 1102125 and 5212011, that added together give a palindrome (6314136).

The spelling of 11021255212011 in words is "eleven trillion, twenty-one billion, two hundred fifty-five million, two hundred twelve thousand, eleven".

Divisors: 1 3 11 33 61 183 671 2013 10007 30021 110077 330231 547121 610427 1641363 1831281 6018331 6714697 18054993 20144091 33374381 100123143 367118191 1101354573 5475039847 16425119541 60225438317 180676314951 333977430667 1001932292001 3673751737337 11021255212011