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101894814 = 2337297397
BaseRepresentation
bin1100001001011…
…00101010011110
321002201210102000
412010230222132
5202041113224
614035543130
72345043300
oct604545236
9232653360
10101894814
115257609a
122a15aaa6
13181580b8
14d765970
158e2b0c9
hex612ca9e

101894814 has 96 divisors (see below), whose sum is σ = 266787360. Its totient is φ = 28740096.

The previous prime is 101894809. The next prime is 101894833. The reversal of 101894814 is 418498101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 256464 + ... + 256860.

It is an arithmetic number, because the mean of its divisors is an integer number (2779035).

Almost surely, 2101894814 is an apocalyptic number.

101894814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101894814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133393680).

101894814 is an abundant number, since it is smaller than the sum of its proper divisors (164892546).

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

101894814 is a wasteful number, since it uses less digits than its factorization.

101894814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 101894814 is about 10094.2961121616. The cubic root of 101894814 is about 467.0722085856.

The spelling of 101894814 in words is "one hundred one million, eight hundred ninety-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 97 98 126 147 189 194 291 294 378 397 441 582 679 794 873 882 1191 1323 1358 1746 2037 2382 2619 2646 2779 3573 4074 4753 5238 5558 6111 7146 8337 9506 10719 12222 14259 16674 18333 19453 21438 25011 28518 36666 38509 38906 42777 50022 58359 75033 77018 85554 115527 116718 128331 150066 175077 231054 256662 269563 346581 350154 525231 539126 693162 808689 1039743 1050462 1617378 1886941 2079486 2426067 3773882 4852134 5660823 7278201 11321646 14556402 16982469 33964938 50947407 101894814