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103811712 = 273270343
BaseRepresentation
bin1100011000000…
…00101010000000
321020100011220020
412030000222000
5203033433322
614145013440
72400246024
oct614005200
9236304806
10103811712
1153665304
122a924280
1318679764
14db04384
1591a905c
hex6300a80

103811712 has 32 divisors (see below), whose sum is σ = 275750880. Its totient is φ = 34603776.

The previous prime is 103811693. The next prime is 103811717. The reversal of 103811712 is 217118301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103811717) 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, 134788 + ... + 135555.

It is an arithmetic number, because the mean of its divisors is an integer number (8617215).

Almost surely, 2103811712 is an apocalyptic number.

103811712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103811712 is an abundant number, since it is smaller than the sum of its proper divisors (171939168).

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

103811712 is an equidigital number, since it uses as much as digits as its factorization.

103811712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270360 (or 270348 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 103811712 is about 10188.8032663311. The cubic root of 103811712 is about 469.9829660342.

The spelling of 103811712 in words is "one hundred three million, eight hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 270343 540686 811029 1081372 1622058 2162744 3244116 4325488 6488232 8650976 12976464 17301952 25952928 34603904 51905856 103811712