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100127027 = 71113234349
BaseRepresentation
bin1011111011111…
…01000100110011
320222101222110102
411331331010303
5201113031102
613534023015
72324031350
oct575750463
9228358412
10100127027
1151578a10
1229647a6b
1317989580
14d425627
158bcc402
hex5f7d133

100127027 has 32 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 68872320.

The previous prime is 100127009. The next prime is 100127029. The reversal of 100127027 is 720721001.

It is not a de Polignac number, because 100127027 - 26 = 100126963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100127029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20849 + ... + 25197.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2100127027 is an apocalyptic number.

100127027 is a deficient number, since it is larger than the sum of its proper divisors (40186573).

100127027 is a wasteful number, since it uses less digits than its factorization.

100127027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 100127027 is about 10006.3493342977. The cubic root of 100127027 is about 464.3553359037.

Adding to 100127027 its reverse (720721001), we get a palindrome (820848028).

The spelling of 100127027 in words is "one hundred million, one hundred twenty-seven thousand, twenty-seven".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 4349 23023 30443 47839 56537 100027 334873 395759 621907 700189 1100297 1300351 4353349 7702079 9102457 14303861 100127027