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101412103 = 134324219
BaseRepresentation
bin1100000101101…
…10110100000111
321001211021020211
412002312310013
5201430141403
614021340251
72340663052
oct602666407
9231737224
10101412103
1152276461
1229b67687
1318019480
14d67ba99
158d8306d
hex60b6d07

101412103 has 12 divisors (see below), whose sum is σ = 111838440. Its totient is φ = 91412496.

The previous prime is 101412019. The next prime is 101412119. The reversal of 101412103 is 301214101.

It is not a de Polignac number, because 101412103 - 217 = 101281031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412173) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21928 + ... + 26146.

It is an arithmetic number, because the mean of its divisors is an integer number (9319870).

Almost surely, 2101412103 is an apocalyptic number.

101412103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101412103 is a deficient number, since it is larger than the sum of its proper divisors (10426337).

101412103 is an equidigital number, since it uses as much as digits as its factorization.

101412103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101412103 is about 10070.3576401238. The cubic root of 101412103 is about 466.3334799145. Note that the first 3 decimals are identical.

Adding to 101412103 its reverse (301214101), we get a palindrome (402626204).

The spelling of 101412103 in words is "one hundred one million, four hundred twelve thousand, one hundred three".

Divisors: 1 13 43 559 1849 4219 24037 54847 181417 2358421 7800931 101412103