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12268971 = 3211139533
BaseRepresentation
bin101110110011…
…010110101011
3212002022212100
4232303112223
511120101341
61114544443
7206166411
oct56632653
925068770
1012268971
116a1a950
124138123
132707560
1418b52b1
1511253b6
hexbb35ab

12268971 has 24 divisors (see below), whose sum is σ = 20822256. Its totient is φ = 6863040.

The previous prime is 12268967. The next prime is 12268979. The reversal of 12268971 is 17986221.

It is not a de Polignac number, because 12268971 - 22 = 12268967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12268979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3480 + ... + 6053.

It is an arithmetic number, because the mean of its divisors is an integer number (867594).

Almost surely, 212268971 is an apocalyptic number.

12268971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12268971 is a deficient number, since it is larger than the sum of its proper divisors (8553285).

12268971 is a wasteful number, since it uses less digits than its factorization.

12268971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9563 (or 9560 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12268971 is about 3502.7090944011. The cubic root of 12268971 is about 230.6407526641.

It can be divided in two parts, 122689 and 71, that added together give a triangular number (122760 = T495).

The spelling of 12268971 in words is "twelve million, two hundred sixty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 9533 28599 85797 104863 123929 314589 371787 943767 1115361 1363219 4089657 12268971