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104217641 = 11193713477
BaseRepresentation
bin1100011011000…
…11110000101001
321021002210201122
412031203300221
5203134431031
614201425025
72403556343
oct615436051
9237083648
10104217641
1153912290
122aa9b175
131878c458
14dbac293
15923947b
hex6363c29

104217641 has 16 divisors (see below), whose sum is σ = 122919360. Its totient is φ = 87324480.

The previous prime is 104217611. The next prime is 104217643. The reversal of 104217641 is 146712401.

It is a cyclic number.

It is not a de Polignac number, because 104217641 - 222 = 100023337 is a prime.

It is a super-2 number, since 2×1042176412 = 21722633391209762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104217641.

It is not an unprimeable number, because it can be changed into a prime (104217643) 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 15 ways as a sum of consecutive naturals, for example, 995 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (7682460).

Almost surely, 2104217641 is an apocalyptic number.

104217641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104217641 is a deficient number, since it is larger than the sum of its proper divisors (18701719).

104217641 is a wasteful number, since it uses less digits than its factorization.

104217641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13544.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 104217641 is about 10208.7041782980. The cubic root of 104217641 is about 470.5947518194.

The spelling of 104217641 in words is "one hundred four million, two hundred seventeen thousand, six hundred forty-one".

Divisors: 1 11 19 37 209 407 703 7733 13477 148247 256063 498649 2816693 5485139 9474331 104217641