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12272271 = 3111923237
BaseRepresentation
bin101110110100…
…001010001111
3212002111101120
4232310022033
511120203041
61115012023
7206212134
oct56641217
925074346
1012272271
116a22380
12413a013
132708bcb
1418b658b
151126366
hexbb428f

12272271 has 48 divisors (see below), whose sum is σ = 20173440. Its totient is φ = 6557760.

The previous prime is 12272269. The next prime is 12272287. The reversal of 12272271 is 17227221.

It is not a de Polignac number, because 12272271 - 21 = 12272269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272231) 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 47 ways as a sum of consecutive naturals, for example, 331665 + ... + 331701.

It is an arithmetic number, because the mean of its divisors is an integer number (420280).

Almost surely, 212272271 is an apocalyptic number.

12272271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12272271 is a deficient number, since it is larger than the sum of its proper divisors (7901169).

12272271 is a wasteful number, since it uses less digits than its factorization.

12272271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 12272271 is about 3503.1801266849. The cubic root of 12272271 is about 230.6614293846.

Adding to 12272271 its reverse (17227221), we get a palindrome (29499492).

The spelling of 12272271 in words is "twelve million, two hundred seventy-two thousand, two hundred seventy-one".

Divisors: 1 3 11 19 23 33 37 57 69 111 209 253 407 437 529 627 703 759 851 1221 1311 1587 2109 2553 4807 5819 7733 9361 10051 14421 16169 17457 19573 23199 28083 30153 48507 58719 110561 177859 215303 331683 371887 533577 645909 1115661 4090757 12272271