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12331000 = 2353111959
BaseRepresentation
bin101111000010…
…011111111000
3212012110221201
4233002133320
511124043000
61120143544
7206545303
oct57023770
925173851
1012331000
116a62510
124167bb4
132729866
1418cdb3a
15113896a
hexbc27f8

12331000 has 128 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 4176000.

The previous prime is 12330991. The next prime is 12331049. The reversal of 12331000 is 13321.

It is a super-2 number, since 2×123310002 = 304107122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208971 + ... + 209029.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 212331000 is an apocalyptic number.

12331000 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 12331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

12331000 is an abundant number, since it is smaller than the sum of its proper divisors (21365000).

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

12331000 is a wasteful number, since it uses less digits than its factorization.

12331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 12331000 is about 3511.5523632718. The cubic root of 12331000 is about 231.0287877268.

Adding to 12331000 its reverse (13321), we get a palindrome (12344321).

The spelling of 12331000 in words is "twelve million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 59 76 88 95 100 110 118 125 152 190 200 209 220 236 250 275 295 380 418 440 472 475 500 550 590 649 760 836 950 1000 1045 1100 1121 1180 1298 1375 1475 1672 1900 2090 2200 2242 2360 2375 2596 2750 2950 3245 3800 4180 4484 4750 5192 5225 5500 5605 5900 6490 7375 8360 8968 9500 10450 11000 11210 11800 12331 12980 14750 16225 19000 20900 22420 24662 25960 26125 28025 29500 32450 41800 44840 49324 52250 56050 59000 61655 64900 81125 98648 104500 112100 123310 129800 140125 162250 209000 224200 246620 280250 308275 324500 493240 560500 616550 649000 1121000 1233100 1541375 2466200 3082750 6165500 12331000