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230111121342000 = 2435338351853557
BaseRepresentation
bin110100010100100011101011…
…101001010111111000110000
31010011202102000200201212110210
4310110203223221113320300
5220130120034030421000
62133223331220424120
766316660046566113
oct6424435351277060
91104672020655423
10230111121342000
1167358640016338
12219850b0b48040
139b5250230bbb2
1440b761b08a57a
151b90ab9610350
hexd148eba57e30

230111121342000 has 80 divisors (see below), whose sum is σ = 741878255225952. Its totient is φ = 61362965689600.

The previous prime is 230111121341989. The next prime is 230111121342007. The reversal of 230111121342000 is 243121111032.

230111121342000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2301111213420002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230111121342007) 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, 19175920779 + ... + 19175932778.

Almost surely, 2230111121342000 is an apocalyptic number.

230111121342000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230111121342000 is an abundant number, since it is smaller than the sum of its proper divisors (511767133883952).

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

230111121342000 is a wasteful number, since it uses less digits than its factorization.

230111121342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38351853583 (or 38351853567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 230111121342000 its reverse (243121111032), we get a palindrome (230354242453032).

The spelling of 230111121342000 in words is "two hundred thirty trillion, one hundred eleven billion, one hundred twenty-one million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 38351853557 76703707114 115055560671 153407414228 191759267785 230111121342 306814828456 383518535570 460222242684 575277803355 613629656912 767037071140 920444485368 958796338925 1150555606710 1534074142280 1840888970736 1917592677850 2301111213420 2876389016775 3068148284560 3835185355700 4602222426840 4793981694625 5752778033550 7670370711400 9204444853680 9587963389250 11505556067100 14381945083875 15340741422800 19175926778500 23011112134200 28763890167750 38351853557000 46022224268400 57527780335500 76703707114000 115055560671000 230111121342000