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27755101 = 11217103131
BaseRepresentation
bin110100111100…
…0001001011101
31221020002211201
41221320021131
524101130401
62430515501
7454625443
oct151701135
957202751
1027755101
1114737900
129365b91
13599a24a
143986b93
152683b01
hex1a7825d

27755101 has 24 divisors (see below), whose sum is σ = 32864832. Its totient is φ = 23337600.

The previous prime is 27755099. The next prime is 27755113. The reversal of 27755101 is 10155772.

It is not a de Polignac number, because 27755101 - 21 = 27755099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27755101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27755131) 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 23 ways as a sum of consecutive naturals, for example, 211806 + ... + 211936.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 227755101 is an apocalyptic number.

It is an amenable number.

27755101 is a deficient number, since it is larger than the sum of its proper divisors (5109731).

27755101 is a wasteful number, since it uses less digits than its factorization.

27755101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 27755101 is about 5268.3110196722. The cubic root of 27755101 is about 302.7709968225.

The spelling of 27755101 in words is "twenty-seven million, seven hundred fifty-five thousand, one hundred one".

Divisors: 1 11 17 103 121 131 187 1133 1441 1751 2057 2227 12463 13493 15851 19261 24497 148423 211871 229381 269467 1632653 2523191 27755101