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330310201312130 = 2513171321388129153
BaseRepresentation
bin100101100011010100101011…
…0001101110000001110000010
31121022112100100212010201112112
41023012221112031300032002
5321243300243013442010
63130302224530055322
7126401060465624504
oct11306512615601602
91538470325121475
10330310201312130
1196279851520646
12310683b611a542
131124016cc86720
145b7d155acbd74
15282c1d66bca05
hex12c6a56370382

330310201312130 has 128 divisors (see below), whose sum is σ = 678669264778176. Its totient is φ = 114666150297600.

The previous prime is 330310201312127. The next prime is 330310201312307. The reversal of 330310201312130 is 31213102013033.

It can be written as a sum of positive squares in 32 ways, for example, as 5424608988241 + 324885592323889 = 2329079^2 + 18024583^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330310201312096 and 330310201312105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11330215634 + ... + 11330244786.

Almost surely, 2330310201312130 is an apocalyptic number.

330310201312130 is an abundant number, since it is smaller than the sum of its proper divisors (348359063466046).

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

330310201312130 is a wasteful number, since it uses less digits than its factorization.

330310201312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34392.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 330310201312130 its reverse (31213102013033), we get a palindrome (361523303325163).

The spelling of 330310201312130 in words is "three hundred thirty trillion, three hundred ten billion, two hundred one million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 1321 2210 2642 3881 6605 7762 13210 17173 19405 22457 29153 34346 38810 44914 50453 58306 65977 85865 100906 112285 131954 145765 171730 224570 252265 291530 291941 329885 378989 495601 504530 583882 659770 757978 857701 991202 1459705 1715402 1894945 2478005 2919410 3789890 4288505 4956010 5126801 6442813 8577010 10253602 12885626 25634005 32214065 38511113 51268010 64428130 66648413 77022226 87155617 113142793 133296826 174311234 192555565 226285586 333242065 385111130 435778085 500644469 565713965 654688921 666484130 871556170 1001288938 1131427930 1133023021 1309377842 1470856309 1923427481 2266046042 2503222345 2941712618 3273444605 3846854962 5006444690 5665115105 6546889210 7354281545 8510955973 9617137405 11330230210 14708563090 17021911946 19234274810 25004557253 42554779865 50009114506 85109559730 125022786265 149461629553 250045572530 298923259106 747308147765 1494616295530 1943001184189 2540847702401 3886002368378 5081695404802 9715005920945 12704238512005 19430011841890 25408477024010 33031020131213 66062040262426 165155100656065 330310201312130