Search a number
-
+
320241001104330 = 235835571210119081
BaseRepresentation
bin100100011010000011110101…
…1000111010000001111001010
31112222212201222222111200110220
41020310013223013100033022
5313433312032240314310
63053032403540250510
7124311435354220215
oct11064075307201712
91488781888450426
10320241001104330
119304749a504249
122bb00a273a0a36
131098c79b2c2ca7
145911a6629a77c
15270530b49e670
hex12341eb1d03ca

320241001104330 has 128 divisors (see below), whose sum is σ = 779340097541376. Its totient is φ = 84205870848000.

The previous prime is 320241001104329. The next prime is 320241001104391. The reversal of 320241001104330 is 33401100142023.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 320241001104330.

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, 16783230390 + ... + 16783249470.

It is an arithmetic number, because the mean of its divisors is an integer number (6088594512042).

Almost surely, 2320241001104330 is an apocalyptic number.

320241001104330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320241001104330 is an abundant number, since it is smaller than the sum of its proper divisors (459099096437046).

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

320241001104330 is a wasteful number, since it uses less digits than its factorization.

320241001104330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31832.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 320241001104330 its reverse (33401100142023), we get a palindrome (353642101246353).

The spelling of 320241001104330 in words is "three hundred twenty trillion, two hundred forty-one billion, one million, one hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 557 830 1114 1245 1671 2490 2785 3342 5570 8355 12101 16710 19081 24202 36303 38162 46231 57243 60505 72606 92462 95405 114486 121010 138693 181515 190810 231155 277386 286215 363030 462310 572430 693465 1004383 1386930 1583723 2008766 3013149 3167446 4751169 5021915 6026298 6740257 7918615 9502338 10043830 10628117 13480514 15065745 15837230 20220771 21256234 23755845 30131490 31884351 33701285 40441542 47511690 53140585 63768702 67402570 101103855 106281170 159421755 202207710 230899181 318843510 461798362 559441331 692697543 882133711 1118882662 1154495905 1385395086 1678323993 1764267422 2308991810 2646401133 2797206655 3356647986 3463487715 4410668555 5292802266 5594413310 6926975430 8391619965 8821337110 13232005665 16783239930 19164632023 26464011330 38329264046 57493896069 95823160115 114987792138 128610843817 191646320230 257221687634 287469480345 385832531451 574938960690 643054219085 771665062902 1286108438170 1929162657255 3858325314510 10674700036811 21349400073622 32024100110433 53373500184055 64048200220866 106747000368110 160120500552165 320241001104330