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104202112 = 277176841
BaseRepresentation
bin1100011010111…
…11111110000000
321021002000102111
412031133332000
5203133431422
614201225104
72403463150
oct615377600
9237060374
10104202112
1153901653
122aa92194
1318785371
14dba6760
159234a77
hex635ff80

104202112 has 64 divisors (see below), whose sum is σ = 251238240. Its totient is φ = 42024960.

The previous prime is 104202097. The next prime is 104202127. The reversal of 104202112 is 211202401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104202097) and next prime (104202127).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 104202092 and 104202101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11812 + ... + 18652.

Almost surely, 2104202112 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 104202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125619120).

104202112 is an abundant number, since it is smaller than the sum of its proper divisors (147036128).

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

104202112 is an equidigital number, since it uses as much as digits as its factorization.

104202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 104202112 is about 10207.9435735118. The cubic root of 104202112 is about 470.5713769255.

Adding to 104202112 its reverse (211202401), we get a palindrome (315404513).

The spelling of 104202112 in words is "one hundred four million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 6841 7616 13682 15232 27364 47887 54728 95774 109456 116297 191548 218912 232594 383096 437824 465188 766192 814079 875648 930376 1532384 1628158 1860752 3064768 3256316 3721504 6129536 6512632 7443008 13025264 14886016 26050528 52101056 104202112