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11023003113331 = 1117376152150129
BaseRepresentation
bin1010000001100111111000…
…1011110101011101110011
31110000210022001001220120211
42200121332023311131303
52421100102244111311
635235521524044551
72215246202340556
oct240317613653563
943023261056524
1011023003113331
11356a913985480
1212a03b9533757
1361c607033311
142a173263469d
15141b00dd1821
hexa067e2f5773

11023003113331 has 64 divisors (see below), whose sum is σ = 13316719282560. Its totient is φ = 9008603136000.

The previous prime is 11023003113307. The next prime is 11023003113349. The reversal of 11023003113331 is 13331130032011.

It is a 16-Lehmer number, since φ(11023003113331) divides (11023003113331-1)16.

It is a cyclic number.

It is not a de Polignac number, because 11023003113331 - 219 = 11023002589043 is a prime.

It is a super-2 number, since 2×110230031133312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11023003113371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219867675 + ... + 219917803.

It is an arithmetic number, because the mean of its divisors is an integer number (208073738790).

Almost surely, 211023003113331 is an apocalyptic number.

11023003113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11023003113331 is a deficient number, since it is larger than the sum of its proper divisors (2293716169229).

11023003113331 is a wasteful number, since it uses less digits than its factorization.

11023003113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50776.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11023003113331 its reverse (13331130032011), we get a palindrome (24354133145342).

The spelling of 11023003113331 in words is "eleven trillion, twenty-three billion, three million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 11 17 37 61 187 407 521 629 671 1037 2257 5731 6919 8857 11407 19277 24827 31781 38369 50129 97427 212047 327709 349591 422059 540277 551419 852193 1175897 1854773 3057869 3604799 5943047 9374123 12934867 19990249 20402503 26117209 31531141 33636559 51983773 113141153 219892739 287289299 346842551 443992553 571821503 966336733 1244552683 1593149749 1923399601 4883918083 10629704063 16427724461 17524647239 21157395611 27083545733 58946540713 180704969071 297919003063 648411947843 1002091192121 11023003113331