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104221242 = 2351311637
BaseRepresentation
bin1100011011001…
…00101000111010
321021002222200000
412031210220322
5203140034432
614201453430
72403603006
oct615445072
9237088600
10104221242
1153914a64
122aaa1276
1318790c98
14dbad706
15923a57c
hex6364a3a

104221242 has 48 divisors (see below), whose sum is σ = 236107872. Its totient is φ = 34454160.

The previous prime is 104221241. The next prime is 104221261. The reversal of 104221242 is 242122401.

104221242 is a `hidden beast` number, since 1 + 0 + 422 + 1 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104221241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62848 + ... + 64484.

It is an arithmetic number, because the mean of its divisors is an integer number (4918914).

Almost surely, 2104221242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104221242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118053936).

104221242 is an abundant number, since it is smaller than the sum of its proper divisors (131886630).

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

104221242 is a wasteful number, since it uses less digits than its factorization.

104221242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104221242 is about 10208.8805458777. The cubic root of 104221242 is about 470.6001718621.

Adding to 104221242 its reverse (242122401), we get a palindrome (346343643).

It can be divided in two parts, 10422 and 1242, that added together give a square (11664 = 1082).

The spelling of 104221242 in words is "one hundred four million, two hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 486 786 1179 1637 2358 3274 3537 4911 7074 9822 10611 14733 21222 29466 31833 44199 63666 88398 132597 214447 265194 397791 428894 643341 795582 1286682 1930023 3860046 5790069 11580138 17370207 34740414 52110621 104221242