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101720416 = 257454109
BaseRepresentation
bin1100001000000…
…10000101100000
321002101221011211
412010002011200
5202020023131
614032115504
72343415660
oct604020540
9232357154
10101720416
1152467066
122a095b94
13180c68c5
14d71c1a0
158de45b1
hex6102160

101720416 has 24 divisors (see below), whose sum is σ = 228871440. Its totient is φ = 43594368.

The previous prime is 101720407. The next prime is 101720419. The reversal of 101720416 is 614027101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101720419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226831 + ... + 227278.

It is an arithmetic number, because the mean of its divisors is an integer number (9536310).

Almost surely, 2101720416 is an apocalyptic number.

101720416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101720416 is an abundant number, since it is smaller than the sum of its proper divisors (127151024).

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

101720416 is an equidigital number, since it uses as much as digits as its factorization.

101720416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454126 (or 454118 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 101720416 is about 10085.6539698723. The cubic root of 101720416 is about 466.8055840398.

Adding to 101720416 its reverse (614027101), we get a palindrome (715747517).

The spelling of 101720416 in words is "one hundred one million, seven hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 454109 908218 1816436 3178763 3632872 6357526 7265744 12715052 14531488 25430104 50860208 101720416