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110018412 = 22347179271
BaseRepresentation
bin1101000111010…
…11111101101100
321200000111220000
412203223331230
5211131042122
614530024300
72504066250
oct643537554
9250014800
10110018412
1157114509
1230a18090
1319a4086a
141087c260
1599d30ac
hex68ebf6c

110018412 has 120 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 31142880.

The previous prime is 110018401. The next prime is 110018437. The reversal of 110018412 is 214810011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 405837 + ... + 406107.

It is an arithmetic number, because the mean of its divisors is an integer number (2764608).

Almost surely, 2110018412 is an apocalyptic number.

110018412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110018412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

110018412 is an abundant number, since it is smaller than the sum of its proper divisors (221734548).

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

110018412 is a wasteful number, since it uses less digits than its factorization.

110018412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 110018412 is about 10488.9662026341. The cubic root of 110018412 is about 479.1687174338.

Adding to 110018412 its reverse (214810011), we get a palindrome (324828423).

The spelling of 110018412 in words is "one hundred ten million, eighteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 179 189 252 271 324 358 378 537 542 567 716 756 813 1074 1084 1134 1253 1611 1626 1897 2148 2268 2439 2506 3222 3252 3759 3794 4833 4878 5012 5691 6444 7317 7518 7588 9666 9756 11277 11382 14499 14634 15036 17073 19332 21951 22554 22764 28998 29268 33831 34146 43902 45108 48509 51219 57996 67662 68292 87804 97018 101493 102438 135324 145527 153657 194036 202986 204876 291054 307314 339563 405972 436581 582108 614628 679126 873162 1018689 1309743 1358252 1746324 2037378 2619486 3056067 3929229 4074756 5238972 6112134 7858458 9168201 12224268 15716916 18336402 27504603 36672804 55009206 110018412