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110213424 = 243223107311
BaseRepresentation
bin1101001000110…
…11100100110000
321200101102101200
412210123210300
5211203312144
614534131200
72505540636
oct644334460
9250342350
10110213424
1157237a82
1230ab0b00
1319aab559
14108cd356
159a20c69
hex691b930

110213424 has 120 divisors (see below), whose sum is σ = 325907712. Its totient is φ = 34700160.

The previous prime is 110213419. The next prime is 110213461. The reversal of 110213424 is 424312011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110213397 and 110213406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354229 + ... + 354539.

Almost surely, 2110213424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162953856).

110213424 is an abundant number, since it is smaller than the sum of its proper divisors (215694288).

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

110213424 is a wasteful number, since it uses less digits than its factorization.

110213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 110213424 is about 10498.2581412347. The cubic root of 110213424 is about 479.4516655079.

Adding to 110213424 its reverse (424312011), we get a palindrome (534525435).

The spelling of 110213424 in words is "one hundred ten million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 107 138 144 184 207 214 276 311 321 368 414 428 552 622 642 828 856 933 963 1104 1244 1284 1656 1712 1866 1926 2461 2488 2568 2799 3312 3732 3852 4922 4976 5136 5598 7153 7383 7464 7704 9844 11196 14306 14766 14928 15408 19688 21459 22149 22392 28612 29532 33277 39376 42918 44298 44784 57224 59064 64377 66554 85836 88596 99831 114448 118128 128754 133108 171672 177192 199662 257508 266216 299493 343344 354384 399324 515016 532432 598986 765371 798648 1030032 1197972 1530742 1597296 2296113 2395944 3061484 4592226 4791888 6122968 6888339 9184452 12245936 13776678 18368904 27553356 36737808 55106712 110213424