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12311000 = 235313947
BaseRepresentation
bin101110111101…
…100111011000
3212011110111222
4232331213120
511122423000
61115511212
7206433062
oct56754730
925143458
1012311000
116a49489
124158508
132720720
1418c6732
151132a85
hexbbd9d8

12311000 has 64 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 4540800.

The previous prime is 12310997. The next prime is 12311017. The reversal of 12311000 is 11321.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12527 + ... + 13473.

Almost surely, 212311000 is an apocalyptic number.

12311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

12311000 is an abundant number, since it is smaller than the sum of its proper divisors (18745480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12311000 is a wasteful number, since it uses less digits than its factorization.

12311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 12311000 is about 3508.7034642443. The cubic root of 12311000 is about 230.9038160811.

Adding to 12311000 its reverse (11321), we get a palindrome (12322321).

The spelling of 12311000 in words is "twelve million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 947 1000 1300 1625 1894 2600 3250 3788 4735 6500 7576 9470 12311 13000 18940 23675 24622 37880 47350 49244 61555 94700 98488 118375 123110 189400 236750 246220 307775 473500 492440 615550 947000 1231100 1538875 2462200 3077750 6155500 12311000