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11123143321122 = 2327439292209901
BaseRepresentation
bin1010000111011100111100…
…0000011010011000100010
31110101100202222112112202200
42201313033000122120202
52424220144142233442
635353522420154030
72225422601143260
oct241671700323042
943340688475680
1011123143321122
1135a9331474788
1212b78a6238916
13628ba58c3841
142a6512151430
151445125b434c
hexa1dcf01a622

11123143321122 has 96 divisors (see below), whose sum is σ = 28213907230080. Its totient is φ = 3100790246400.

The previous prime is 11123143321109. The next prime is 11123143321123. The reversal of 11123143321122 is 22112334132111.

11123143321122 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 314 + 3 + 321 + 1 + 22 = 666.

It is a super-2 number, since 2×111231433211222 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11123143321123) 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 47 ways as a sum of consecutive naturals, for example, 3928372 + ... + 6138272.

It is an arithmetic number, because the mean of its divisors is an integer number (293894866980).

Almost surely, 211123143321122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123143321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106953615040).

11123143321122 is an abundant number, since it is smaller than the sum of its proper divisors (17090763908958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11123143321122 is a wasteful number, since it uses less digits than its factorization.

11123143321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210888 (or 2210885 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 11123143321122 its reverse (22112334132111), we get a palindrome (33235477453233).

The spelling of 11123143321122 in words is "eleven trillion, one hundred twenty-three billion, one hundred forty-three million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 929 1806 1858 2709 2787 5418 5574 6503 8361 13006 16722 19509 39018 39947 58527 79894 117054 119841 239682 279629 359523 559258 719046 838887 1677774 2209901 2516661 4419802 5033322 6629703 13259406 15469307 19889109 30938614 39778218 46407921 92815842 95025743 139223763 190051486 278447526 285077229 570154458 665180201 855231687 1330360402 1710463374 1995540603 2052998029 3991081206 4105996058 5986621809 6158994087 11973243618 12317988174 14370986203 18476982261 28741972406 36953964522 43112958609 86225917218 88278915247 129338875827 176557830494 258677751654 264836745741 529673491482 617952406729 794510237223 1235904813458 1589020474446 1853857220187 3707714440374 5561571660561 11123143321122