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11103223131 = 32711137316883
BaseRepresentation
bin10100101011100110…
…11011110101011011
31001122210200011202100
422111303123311123
5140214411120011
65033432334443
7542101560630
oct122563336533
931583604670
1011103223131
114788530970
12219a544423
13107c429220
147748a0187
1544eb7dd56
hex295cdbd5b

11103223131 has 96 divisors (see below), whose sum is σ = 21829796352. Its totient is φ = 5250977280.

The previous prime is 11103223121. The next prime is 11103223133. The reversal of 11103223131 is 13132230111.

It is not a de Polignac number, because 11103223131 - 29 = 11103222619 is a prime.

It is a super-2 number, since 2×111032231312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11103223133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649216 + ... + 666098.

It is an arithmetic number, because the mean of its divisors is an integer number (227393712).

Almost surely, 211103223131 is an apocalyptic number.

11103223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11103223131 is a deficient number, since it is larger than the sum of its proper divisors (10726573221).

11103223131 is a wasteful number, since it uses less digits than its factorization.

11103223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993 (or 16990 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103223131 its reverse (13132230111), we get a palindrome (24235453242).

The spelling of 11103223131 in words is "eleven billion, one hundred three million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 73 77 91 99 117 143 219 231 273 429 511 657 693 803 819 949 1001 1287 1533 2409 2847 3003 4599 5621 6643 7227 8541 9009 10439 16863 16883 19929 31317 50589 50649 59787 73073 93951 118181 151947 185713 219219 219479 354543 557139 657657 658437 1063629 1232459 1299991 1536353 1671417 1975311 2414269 3697377 3899973 4609059 7242807 8627213 11092131 11699919 13557049 13827177 16021967 16899883 21728421 25881639 40671147 48065901 50699649 77644917 94899343 112153769 122013441 144197703 152098947 176241637 284698029 336461307 528724911 854094087 1009383921 1233691459 1586174733 3701074377 11103223131