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12131000 = 235371733
BaseRepresentation
bin101110010001…
…101010111000
3211211022121022
4232101222320
511101143000
61112002012
7205053230
oct56215270
924738538
1012131000
116936222
124090308
13268980b
14187acc0
1510e9585
hexb91ab8

12131000 has 64 divisors (see below), whose sum is σ = 32460480. Its totient is φ = 4156800.

The previous prime is 12130999. The next prime is 12131017. The reversal of 12131000 is 13121.

12131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121310002 = 294322322000000, which contains 22 as substring.

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, 6134 + ... + 7866.

It is an arithmetic number, because the mean of its divisors is an integer number (507195).

Almost surely, 212131000 is an apocalyptic number.

12131000 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 12131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230240).

12131000 is an abundant number, since it is smaller than the sum of its proper divisors (20329480).

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

12131000 is a wasteful number, since it uses less digits than its factorization.

12131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

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

The square root of 12131000 is about 3482.9585125293. The cubic root of 12131000 is about 229.7729328018.

Adding to 12131000 its reverse (13121), we get a palindrome (12144121).

The spelling of 12131000 in words is "twelve million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1733 1750 3466 3500 6932 7000 8665 12131 13864 17330 24262 34660 43325 48524 60655 69320 86650 97048 121310 173300 216625 242620 303275 346600 433250 485240 606550 866500 1213100 1516375 1733000 2426200 3032750 6065500 12131000