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11131023201221 = 7112926261189817
BaseRepresentation
bin1010000111111010010010…
…1011110001001111000101
31110102010010010220221010202
42201332210223301033011
52424332313414414341
635401304345300245
72226122063052530
oct241764453611705
943363103827122
1011131023201221
113601705459290
1212b9325194685
1362986029a2a1
142a6a5c8aba17
1514482428379b
hexa1fa4af13c5

11131023201221 has 32 divisors (see below), whose sum is σ = 14356800910080. Its totient is φ = 8374074508800.

The previous prime is 11131023201217. The next prime is 11131023201223. The reversal of 11131023201221 is 12210232013111.

It is not a de Polignac number, because 11131023201221 - 22 = 11131023201217 is a prime.

It is a super-2 number, since 2×111310232012212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131023201193 and 11131023201202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131023201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58545905 + ... + 58735721.

It is an arithmetic number, because the mean of its divisors is an integer number (448650028440).

Almost surely, 211131023201221 is an apocalyptic number.

11131023201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131023201221 is a deficient number, since it is larger than the sum of its proper divisors (3225777708859).

11131023201221 is a wasteful number, since it uses less digits than its factorization.

11131023201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216125.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11131023201221 its reverse (12210232013111), we get a palindrome (23341255214332).

The spelling of 11131023201221 in words is "eleven trillion, one hundred thirty-one billion, twenty-three million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 29 77 203 319 2233 26261 183827 189817 288871 761569 1328719 2022097 2087987 5330983 5504693 8377259 14615909 38532851 58640813 60551623 423861361 4984784237 34893489659 54832626607 144558742873 383828386249 1011911200111 1590146171603 11131023201221