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101048016 = 2432391529
BaseRepresentation
bin1100000010111…
…01111011010000
321001010202211010
412001131323100
5201332014031
614005450520
72334615426
oct601357320
9231122733
10101048016
1152047963
1229a10a40
1317c1c834
14d5c5116
158d10246
hex605ded0

101048016 has 40 divisors (see below), whose sum is σ = 272393280. Its totient is φ = 32217856.

The previous prime is 101048009. The next prime is 101048033. The reversal of 101048016 is 610840101.

It is a junction number, because it is equal to n+sod(n) for n = 101047983 and 101048001.

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 7 ways as a sum of consecutive naturals, for example, 44661 + ... + 46868.

It is an arithmetic number, because the mean of its divisors is an integer number (6809832).

Almost surely, 2101048016 is an apocalyptic number.

101048016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101048016 is an abundant number, since it is smaller than the sum of its proper divisors (171345264).

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

101048016 is a wasteful number, since it uses less digits than its factorization.

101048016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91563 (or 91557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101048016 is about 10052.2642225521. The cubic root of 101048016 is about 465.7747380882.

Adding to 101048016 its reverse (610840101), we get a palindrome (711888117).

The spelling of 101048016 in words is "one hundred one million, forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 91529 183058 274587 366116 549174 732232 1098348 1464464 2105167 2196696 4210334 4393392 6315501 8420668 12631002 16841336 25262004 33682672 50524008 101048016