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41102124 = 223717107269
BaseRepresentation
bin1001110011001…
…0101100101100
32212100012111220
42130302230230
541010231444
64024543340
71006235160
oct234625454
985305456
1041102124
11212236a8
1211921b50
1386913ab
14565cca0
15391d619
hex2732b2c

41102124 has 96 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 10908672.

The previous prime is 41102119. The next prime is 41102137. The reversal of 41102124 is 42120114.

41102124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411021242 = 3378769194622752, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 152662 + ... + 152930.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 241102124 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 41102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

41102124 is an abundant number, since it is smaller than the sum of its proper divisors (76470996).

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

41102124 is a wasteful number, since it uses less digits than its factorization.

41102124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41102124 is about 6411.0938224300. The cubic root of 41102124 is about 345.1077840083.

Adding to 41102124 its reverse (42120114), we get a palindrome (83222238).

The spelling of 41102124 in words is "forty-one million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 107 119 204 214 238 269 321 357 428 476 538 642 714 749 807 1076 1284 1428 1498 1614 1819 1883 2247 2996 3228 3638 3766 4494 4573 5457 5649 7276 7532 8988 9146 10914 11298 12733 13719 18292 21828 22596 25466 27438 28783 32011 38199 50932 54876 57566 64022 76398 86349 96033 115132 128044 152796 172698 192066 201481 345396 384132 402962 489311 604443 805924 978622 1208886 1467933 1957244 2417772 2935866 3425177 5871732 6850354 10275531 13700708 20551062 41102124