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100110048 = 2538911717
BaseRepresentation
bin1011111011110…
…00111011100000
320222101010011120
411331320323200
5201112010143
613533412240
72323631013
oct575707340
9228333146
10100110048
1151567185
122963a080
131798191c
14d41d37a
158bc7383
hex5f78ee0

100110048 has 48 divisors (see below), whose sum is σ = 265764240. Its totient is φ = 32992256.

The previous prime is 100110041. The next prime is 100110061. The reversal of 100110048 is 840011001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2686 + ... + 14402.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755).

Almost surely, 2100110048 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 100110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132882120).

100110048 is an abundant number, since it is smaller than the sum of its proper divisors (165654192).

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

100110048 is a wasteful number, since it uses less digits than its factorization.

100110048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11819 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 100110048 is about 10005.5008870121. The cubic root of 100110048 is about 464.3290867974.

Adding to 100110048 its reverse (840011001), we get a palindrome (940121049).

The spelling of 100110048 in words is "one hundred million, one hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 11717 23434 35151 46868 70302 93736 140604 187472 281208 374944 562416 1042813 1124832 2085626 3128439 4171252 6256878 8342504 12513756 16685008 25027512 33370016 50055024 100110048