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102127267 = 1128310169
BaseRepresentation
bin1100001011001…
…01011010100011
321010011121021101
412011211122203
5202121033032
614044535231
72350032064
oct605453243
9233147241
10102127267
1152714800
122a251517
1318209b48
14d7c656b
158e74de7
hex61656a3

102127267 has 12 divisors (see below), whose sum is σ = 113619240. Its totient is φ = 91715360.

The previous prime is 102127231. The next prime is 102127271. The reversal of 102127267 is 762721201.

It is not a de Polignac number, because 102127267 - 27 = 102127139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102127217) 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, 4959 + ... + 15127.

It is an arithmetic number, because the mean of its divisors is an integer number (9468270).

Almost surely, 2102127267 is an apocalyptic number.

102127267 is a deficient number, since it is larger than the sum of its proper divisors (11491973).

102127267 is a wasteful number, since it uses less digits than its factorization.

102127267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 102127267 is about 10105.8036295982. The cubic root of 102127267 is about 467.4271166657.

Adding to 102127267 its reverse (762721201), we get a palindrome (864848468).

The spelling of 102127267 in words is "one hundred two million, one hundred twenty-seven thousand, two hundred sixty-seven".

Divisors: 1 11 83 121 913 10043 10169 111859 844027 1230449 9284297 102127267