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230231420302000 = 24531350771744151
BaseRepresentation
bin110100010110010011101110…
…000001011111001010110000
31010012011220112112110012222211
4310112103232001133022300
5220134102422044131000
62133354504312541504
766331446136100035
oct6426235601371260
91105156475405884
10230231420302000
11673a4662704537
12219a44849b1894
139b6096441b870
1440bd38ddb538c
151b93caa96b7ba
hexd164ee05f2b0

230231420302000 has 160 divisors (see below), whose sum is σ = 599641048266624. Its totient is φ = 84991731840000.

The previous prime is 230231420301941. The next prime is 230231420302057. The reversal of 230231420302000 is 203024132032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131129925 + ... + 132874075.

Almost surely, 2230231420302000 is an apocalyptic number.

230231420302000 is a gapful number since it is divisible by the number (20) 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 230231420302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299820524133312).

230231420302000 is an abundant number, since it is smaller than the sum of its proper divisors (369409627964624).

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

230231420302000 is a wasteful number, since it uses less digits than its factorization.

230231420302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749264 (or 1749248 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 230231420302000 its reverse (203024132032), we get a palindrome (230434444434032).

The spelling of 230231420302000 in words is "two hundred thirty trillion, two hundred thirty-one billion, four hundred twenty million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5077 5200 6500 10154 13000 20308 25385 26000 40616 50770 66001 81232 101540 126925 132002 203080 253850 264004 330005 406160 507700 528008 634625 660010 1015400 1056016 1269250 1320020 1650025 1744151 2030800 2538500 2640040 3300050 3488302 5077000 5280080 6600100 6976604 8250125 8720755 10154000 13200200 13953208 16500250 17441510 22673963 26400400 27906416 33000500 34883020 43603775 45347926 66001000 69766040 87207550 90695852 113369815 132002000 139532080 174415100 181391704 218018875 226739630 348830200 362783408 436037750 453479260 566849075 697660400 872075500 906958520 1133698150 1744151000 1813917040 2267396300 2834245375 3488302000 4534792600 5668490750 8855054627 9069585200 11336981500 17710109254 22673963000 35420218508 44275273135 45347926000 70840437016 88550546270 115115710151 141680874032 177101092540 221376365675 230231420302 354202185080 442752731350 460462840604 575578550755 708404370160 885505462700 920925681208 1106881828375 1151157101510 1771010925400 1841851362416 2213763656750 2302314203020 2877892753775 3542021850800 4427527313500 4604628406040 5755785507550 8855054627000 9209256812080 11511571015100 14389463768875 17710109254000 23023142030200 28778927537750 46046284060400 57557855075500 115115710151000 230231420302000