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12293127 = 3771173
BaseRepresentation
bin101110111001…
…010000000111
3212010120000000
4232321100013
511121340002
61115252343
7206330010
oct56712007
925116000
1012293127
116a37010
12414a0b3
132715552
1418c0007
15112c61c
hexbb9407

12293127 has 64 divisors (see below), whose sum is σ = 23301120. Its totient is φ = 6298560.

The previous prime is 12293117. The next prime is 12293137. The reversal of 12293127 is 72139221.

12293127 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12293117) and next prime (12293137).

It is not a de Polignac number, because 12293127 - 27 = 12292999 is a prime.

It is a super-2 number, since 2×122931272 = 302241942876258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12293127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168363 + ... + 168435.

It is an arithmetic number, because the mean of its divisors is an integer number (364080).

Almost surely, 212293127 is an apocalyptic number.

12293127 is a deficient number, since it is larger than the sum of its proper divisors (11007993).

12293127 is an frugal number, since it uses more digits than its factorization.

12293127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 12293127 is about 3506.1555869642. The cubic root of 12293127 is about 230.7920205954.

It can be divided in two parts, 1229 and 3127, that added together give a square (4356 = 662).

The spelling of 12293127 in words is "twelve million, two hundred ninety-three thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 73 77 81 99 189 219 231 243 297 511 567 657 693 729 803 891 1533 1701 1971 2079 2187 2409 2673 4599 5103 5621 5913 6237 7227 8019 13797 15309 16863 17739 18711 21681 24057 41391 50589 53217 56133 65043 124173 151767 159651 168399 195129 372519 455301 585387 1117557 1365903 1756161 4097709 12293127