Search a number
-
+
330320010320130 = 23537503785375337
BaseRepresentation
bin100101100011011001001111…
…0111000001001100100000010
31121022120021200110111221220010
41023012302132320021210002
5321243430340120221010
63130310530131125350
7126401555534050455
oct11306623670114402
91538507613457803
10330320010320130
1196282a25445526
123106a293143856
1311241074221a7c
145b7d80673549c
15282c5ac900620
hex12c6c9ee09902

330320010320130 has 128 divisors (see below), whose sum is σ = 815927579647488. Its totient is φ = 85522237212672.

The previous prime is 330320010320081. The next prime is 330320010320149. The reversal of 330320010320130 is 31023010023033.

It is a super-2 number, since 2×3303200103201302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330320010320097 and 330320010320106.

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, 4384527822 + ... + 4384603158.

It is an arithmetic number, because the mean of its divisors is an integer number (6374434215996).

Almost surely, 2330320010320130 is an apocalyptic number.

330320010320130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330320010320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407963789823744).

330320010320130 is an abundant number, since it is smaller than the sum of its proper divisors (485607569327358).

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

330320010320130 is a wasteful number, since it uses less digits than its factorization.

330320010320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83740.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330320010320130 its reverse (31023010023033), we get a palindrome (361343020343163).

The spelling of 330320010320130 in words is "three hundred thirty trillion, three hundred twenty billion, ten million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 503 555 1006 1110 1509 2515 3018 5030 7545 7853 15090 15706 18611 23559 37222 39265 47118 55833 75337 78530 93055 111666 117795 150674 186110 226011 235590 279165 290561 376685 452022 558330 581122 753370 871683 1130055 1452805 1743366 2260110 2787469 2905610 3950059 4358415 5574938 7900118 8362407 8716830 11850177 13937345 16724814 19750295 23700354 27874690 37894511 39500590 41812035 59250885 75789022 83624070 113683533 118501770 146152183 189472555 227367066 292304366 378945110 438456549 568417665 591621461 730760915 876913098 1136835330 1183242922 1402096907 1461521830 1774864383 2192282745 2804193814 2958107305 3549728766 4206290721 4384565490 5916214610 7010484535 8412581442 8874321915 14020969070 17748643830 21031453605 21889994057 42062907210 43779988114 65669982171 109449970285 131339964342 218899940570 297585594883 328349910855 595171189766 656699821710 892756784649 1487927974415 1785513569298 2975855948830 4463783923245 8927567846490 11010667010671 22021334021342 33032001032013 55053335053355 66064002064026 110106670106710 165160005160065 330320010320130