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1110003345 = 35511232157
BaseRepresentation
bin100001000101001…
…0100111010010001
32212100200000100000
41002022110322101
54233130101340
6302051120213
736335605233
oct10212247221
92770600300
101110003345
1151a627a40
1226b8a3069
13148c73c19
14a75c4253
15676aed30
hex42294e91

1110003345 has 144 divisors (see below), whose sum is σ = 2289897792. Its totient is φ = 511505280.

The previous prime is 1110003317. The next prime is 1110003347. The reversal of 1110003345 is 5433000111.

It is not a de Polignac number, because 1110003345 - 222 = 1105809041 is a prime.

It is a super-2 number, since 2×11100033452 = 2464214851822378050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1110003347) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7070007 + ... + 7070163.

It is an arithmetic number, because the mean of its divisors is an integer number (15902068).

Almost surely, 21110003345 is an apocalyptic number.

1110003345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1110003345 is an abundant number, since it is smaller than the sum of its proper divisors (1179894447).

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

1110003345 is a wasteful number, since it uses less digits than its factorization.

1110003345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1110003345 is about 33316.7126979839. The cubic root of 1110003345 is about 1035.3998455101.

Adding to 1110003345 its reverse (5433000111), we get a palindrome (6543003456).

The spelling of 1110003345 in words is "one billion, one hundred ten million, three thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 135 157 165 207 243 253 297 345 405 471 495 529 621 759 785 891 1035 1215 1265 1413 1485 1587 1727 1863 2277 2355 2645 2673 3105 3611 3795 4239 4455 4761 5181 5589 5819 6831 7065 7935 8635 9315 10833 11385 12717 13365 14283 15543 17457 18055 20493 21195 23805 25905 27945 29095 32499 34155 38151 39721 42849 46629 52371 54165 61479 63585 71415 77715 83053 87285 97497 102465 119163 128547 139887 157113 162495 190755 198605 214245 233145 249159 261855 292491 307395 357489 415265 419661 471339 487485 595815 642735 699435 747477 785565 877473 913583 1072467 1245795 1414017 1462455 1787445 2098305 2242431 2356695 2740749 3217401 3737385 4387365 4567915 5362335 6727293 7070085 8222247 9652203 11212155 13703745 16087005 20181879 24666741 33636465 41111235 48261015 74000223 100909395 123333705 222000669 370001115 1110003345