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242331231000 = 23353591369103
BaseRepresentation
bin1110000110110000010…
…0010010001100011000
3212011111110222000201210
43201230010102030120
512432243243343000
6303154143143120
723336123322435
oct3415404221430
9764443860653
10242331231000
1193854731631
123ab702a4aa0
1319b0c35cc61
14ba2c12ab8c
15648494b350
hex386c112318

242331231000 has 128 divisors (see below), whose sum is σ = 768888806400. Its totient is φ = 63526332800.

The previous prime is 242331230987. The next prime is 242331231007. The reversal of 242331231000 is 132133242.

It is a super-2 number, since 2×2423312310002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242331231007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507552 + ... + 861551.

It is an arithmetic number, because the mean of its divisors is an integer number (6006943800).

Almost surely, 2242331231000 is an apocalyptic number.

242331231000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242331231000 is an abundant number, since it is smaller than the sum of its proper divisors (526557575400).

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

242331231000 is a wasteful number, since it uses less digits than its factorization.

242331231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369186 (or 1369172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 242331231000 its reverse (132133242), we get a palindrome (242463364242).

The spelling of 242331231000 in words is "two hundred forty-two billion, three hundred thirty-one million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 14750 17700 22125 29500 35400 44250 59000 88500 177000 1369103 2738206 4107309 5476412 6845515 8214618 10952824 13691030 16429236 20536545 27382060 32858472 34227575 41073090 54764120 68455150 80777077 82146180 102682725 136910300 161554154 164292360 171137875 205365450 242331231 273820600 323108308 342275750 403885385 410730900 484662462 513413625 646216616 684551500 807770770 821461800 969324924 1026827250 1211656155 1369103000 1615541540 1938649848 2019426925 2053654500 2423312310 3231083080 4038853850 4107309000 4846624620 6058280775 8077707700 9693249240 10097134625 12116561550 16155415400 20194269250 24233123100 30291403875 40388538500 48466246200 60582807750 80777077000 121165615500 242331231000