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105423827271 = 373193530843
BaseRepresentation
bin110001000101110111…
…1111111000101000111
3101002010011112022112020
41202023233333011013
53211401444433041
6120233034254223
710421333514000
oct1421357770507
9332104468466
10105423827271
114078a002884
1218522287373
139c314030a9
14516152a1a7
152b204ae866
hex188bbff147

105423827271 has 32 divisors (see below), whose sum is σ = 164773977600. Its totient is φ = 59929938432.

The previous prime is 105423827269. The next prime is 105423827279. The reversal of 105423827271 is 172728324501.

It is a happy number.

It is not a de Polignac number, because 105423827271 - 21 = 105423827269 is a prime.

It is a super-2 number, since 2×1054238272712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105423827279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66825 + ... + 464018.

It is an arithmetic number, because the mean of its divisors is an integer number (5149186800).

Almost surely, 2105423827271 is an apocalyptic number.

105423827271 is a deficient number, since it is larger than the sum of its proper divisors (59350150329).

105423827271 is an equidigital number, since it uses as much as digits as its factorization.

105423827271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531060 (or 531046 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 105423827271 in words is "one hundred five billion, four hundred twenty-three million, eight hundred twenty-seven thousand, two hundred seventy-one".

Divisors: 1 3 7 21 49 147 193 343 579 1029 1351 4053 9457 28371 66199 198597 530843 1592529 3715901 11147703 26011307 78033921 102452699 182079149 307358097 546237447 717168893 2151506679 5020182251 15060546753 35141275757 105423827271