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11023234443221 = 73113132142873
BaseRepresentation
bin1010000001101000101111…
…1110010010011111010101
31110000210220011100200112112
42200122023332102133111
52421101041004140341
635240000510200405
72215255011533000
oct240321376223725
943023804320475
1011023234443221
11356aa22517000
1212a0462ab3105
1361c642c39a00
142a1755250537
15141b16378aeb
hexa068bf927d5

11023234443221 has 96 divisors (see below), whose sum is σ = 15311063635200. Its totient is φ = 7928744503680.

The previous prime is 11023234443197. The next prime is 11023234443311. The reversal of 11023234443221 is 12234443232011.

It is a happy number.

It is not a de Polignac number, because 11023234443221 - 210 = 11023234442197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023234443821) 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 95 ways as a sum of consecutive naturals, for example, 77082641 + ... + 77225513.

It is an arithmetic number, because the mean of its divisors is an integer number (159490246200).

Almost surely, 211023234443221 is an apocalyptic number.

11023234443221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11023234443221 is a deficient number, since it is larger than the sum of its proper divisors (4287829191979).

11023234443221 is an equidigital number, since it uses as much as digits as its factorization.

11023234443221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142953 (or 142904 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 11023234443221 its reverse (12234443232011), we get a palindrome (23257677675232).

It can be divided in two parts, 1102 and 3234443221, that added together give a palindrome (3234444323).

The spelling of 11023234443221 in words is "eleven trillion, twenty-three billion, two hundred thirty-four million, four hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1331 1573 1859 3773 4459 5929 7007 8281 9317 11011 13013 17303 20449 41503 49049 57967 65219 77077 91091 121121 142873 143143 224939 456533 539539 637637 847847 1000111 1002001 1571603 1574573 1857349 5934929 7000777 7014007 11001221 11022011 13001443 17287633 20430839 24145537 49005439 77008547 77154077 91010101 121013431 143015873 169018759 190163963 224739229 265600907 539059829 637070707 847094017 1001111111 1183131313 1331147741 1573174603 1859206349 2472131519 2921609977 5929658119 7007777777 8281919191 9318034187 11012222221 13014444443 17304920633 20451269839 32137709747 65226239309 77085555547 91101111101 121134444431 143158888873 224963968229 847941111017 1002112222111 1574747777603 11023234443221