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12141331000 = 2353103117877
BaseRepresentation
bin10110100111010111…
…00000001000111000
31011100011001112000221
423103223200020320
5144331140043000
65324434505424
7606605416321
oct132353401070
934304045027
1012141331000
115170512757
12242a135274
1311b6519936
148326cb448
154b0d8b61a
hex2d3ae0238

12141331000 has 64 divisors (see below), whose sum is σ = 28686790080. Its totient is φ = 4809340800.

The previous prime is 12141330979. The next prime is 12141331003. The reversal of 12141331000 is 13314121.

It is a super-2 number, since 2×121413310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141331003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44062 + ... + 161938.

It is an arithmetic number, because the mean of its divisors is an integer number (448231095).

Almost surely, 212141331000 is an apocalyptic number.

12141331000 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 12141331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343395040).

12141331000 is an abundant number, since it is smaller than the sum of its proper divisors (16545459080).

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

12141331000 is a wasteful number, since it uses less digits than its factorization.

12141331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118001 (or 117987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12141331000 its reverse (13314121), we get a palindrome (12154645121).

The spelling of 12141331000 in words is "twelve billion, one hundred forty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 20600 25750 51500 103000 117877 235754 471508 589385 943016 1178770 2357540 2946925 4715080 5893850 11787700 12141331 14734625 23575400 24282662 29469250 48565324 58938500 60706655 97130648 117877000 121413310 242826620 303533275 485653240 607066550 1214133100 1517666375 2428266200 3035332750 6070665500 12141331000