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110021004 = 22344353149
BaseRepresentation
bin1101000111011…
…00100110001100
321200000122110000
412203230212030
5211131133004
614530044300
72504106642
oct643544614
9250018400
10110021004
1157116455
1230a19690
1319a41ab2
141087d192
1599d3c39
hex68ec98c

110021004 has 120 divisors (see below), whose sum is σ = 301870800. Its totient is φ = 34909056.

The previous prime is 110020993. The next prime is 110021011. The reversal of 110021004 is 400120011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 738322 + ... + 738470.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 2110021004 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 110021004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150935400).

110021004 is an abundant number, since it is smaller than the sum of its proper divisors (191849796).

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

110021004 is a wasteful number, since it uses less digits than its factorization.

110021004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110021004 is about 10489.0897603176. The cubic root of 110021004 is about 479.1724804268.

Adding to 110021004 its reverse (400120011), we get a palindrome (510141015).

The spelling of 110021004 in words is "one hundred ten million, twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 53 54 81 86 106 108 129 149 159 162 172 212 258 298 318 324 387 447 477 516 596 636 774 894 954 1161 1341 1431 1548 1788 1908 2279 2322 2682 2862 3483 4023 4293 4558 4644 5364 5724 6407 6837 6966 7897 8046 8586 9116 12069 12814 13674 13932 15794 16092 17172 19221 20511 23691 24138 25628 27348 31588 38442 41022 47382 48276 57663 61533 71073 76884 82044 94764 115326 123066 142146 172989 184599 213219 230652 246132 284292 339571 345978 369198 426438 518967 639657 679142 691956 738396 852876 1018713 1037934 1279314 1358284 2037426 2075868 2558628 3056139 4074852 6112278 9168417 12224556 18336834 27505251 36673668 55010502 110021004