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100041616 = 249376673
BaseRepresentation
bin1011111011010…
…00001110010000
320222020122022001
411331220032100
5201102312431
613532123344
72323224343
oct575501620
9228218261
10100041616
115151a824
1229606554
131795972c
14d40245a
158bb1e61
hex5f68390

100041616 has 20 divisors (see below), whose sum is σ = 194066572. Its totient is φ = 49959936.

The previous prime is 100041589. The next prime is 100041649. The reversal of 100041616 is 616140001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 95648400 = 2096^2 + 9780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100041593 and 100041602.

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 3 ways as a sum of consecutive naturals, for example, 11656 + ... + 18328.

Almost surely, 2100041616 is an apocalyptic number.

100041616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100041616 is a deficient number, since it is larger than the sum of its proper divisors (94024956).

100041616 is an equidigital number, since it uses as much as digits as its factorization.

100041616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100041616 is about 10002.0805835586. The cubic root of 100041616 is about 464.2232625517.

Adding to 100041616 its reverse (616140001), we get a palindrome (716181617).

The spelling of 100041616 in words is "one hundred million, forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 937 1874 3748 6673 7496 13346 14992 26692 53384 106768 6252601 12505202 25010404 50020808 100041616