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101419417 = 112978641
BaseRepresentation
bin1100000101110…
…00100110011001
321001211122021201
412002320212121
5201430410132
614021434201
72341023301
oct602704631
9231748251
10101419417
1152280a00
1229b6b961
131801c8b8
14d680601
158d852e7
hex60b8999

101419417 has 12 divisors (see below), whose sum is σ = 112639828. Its totient is φ = 91238400.

The previous prime is 101419403. The next prime is 101419429. The reversal of 101419417 is 714914101.

It can be written as a sum of positive squares in 2 ways, for example, as 19263321 + 82156096 = 4389^2 + 9064^2 .

It is a de Polignac number, because none of the positive numbers 2k-101419417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101419447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7417 + ... + 16057.

Almost surely, 2101419417 is an apocalyptic number.

It is an amenable number.

101419417 is a deficient number, since it is larger than the sum of its proper divisors (11220411).

101419417 is an equidigital number, since it uses as much as digits as its factorization.

101419417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 101419417 is about 10070.7207785739. The cubic root of 101419417 is about 466.3446905458.

The spelling of 101419417 in words is "one hundred one million, four hundred nineteen thousand, four hundred seventeen".

Divisors: 1 11 97 121 1067 8641 11737 95051 838177 1045561 9219947 101419417