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230012031320130 = 235192119317802527
BaseRepresentation
bin110100010011000111011001…
…011010111100000001000010
31010011101221020221101012112210
4310103013121122330001002
5220122004120004221010
62133110022441402550
766306551362365063
oct6423073132740102
91104357227335483
10230012031320130
116731a611308284
1221969a57a99456
139b460701aa767
1440b28dac2256a
151b8d21a223b20
hexd131d96bc042

230012031320130 has 96 divisors (see below), whose sum is σ = 583100584026624. Its totient is φ = 58059591674112.

The previous prime is 230012031320129. The next prime is 230012031320131. The reversal of 230012031320130 is 31023130210032.

It is an interprime number because it is at equal distance from previous prime (230012031320129) and next prime (230012031320131).

It is a junction number, because it is equal to n+sod(n) for n = 230012031320097 and 230012031320106.

It is not an unprimeable number, because it can be changed into a prime (230012031320131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4018927 + ... + 21821453.

It is an arithmetic number, because the mean of its divisors is an integer number (6073964416944).

Almost surely, 2230012031320130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230012031320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291550292013312).

230012031320130 is an abundant number, since it is smaller than the sum of its proper divisors (353088552706494).

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

230012031320130 is a wasteful number, since it uses less digits than its factorization.

230012031320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17803768 (or 17803749 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230012031320130 its reverse (31023130210032), we get a palindrome (261035161530162).

The spelling of 230012031320130 in words is "two hundred thirty trillion, twelve billion, thirty-one million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1193 1805 2166 2386 3579 3610 5415 5965 7158 10830 11930 17895 22667 35790 45334 68001 113335 136002 226670 340005 430673 680010 861346 1292019 2153365 2584038 4306730 6460095 12920190 17802527 35605054 53407581 89012635 106815162 178025270 267037905 338248013 534075810 676496026 1014744039 1691240065 2029488078 3382480130 5073720195 6426712247 10147440390 12853424494 19280136741 21238414711 32133561235 38560273482 42476829422 63715244133 64267122470 96400683705 106192073555 127430488266 192801367410 212384147110 318576220665 403529879509 637152441330 807059759018 1210589638527 2017649397545 2421179277054 4035298795090 6052948192635 7667067710671 12105896385270 15334135421342 23001203132013 38335338553355 46002406264026 76670677106710 115006015660065 230012031320130