Search a number
-
+
11330312033320 = 2357199187231823
BaseRepresentation
bin1010010011100000101100…
…1110010101010000101000
31111010011111221000112200021
42210320023032111100220
52441113434340031240
640033023512450224
72246405460142660
oct244701316252050
944104457015607
1011330312033320
113679181842515
12132ba826a9974
136425a0169a47
142b25663491a0
15149ada07b54a
hexa4e0b395428

11330312033320 has 128 divisors (see below), whose sum is σ = 30671984332800. Its totient is φ = 3679805189376.

The previous prime is 11330312033317. The next prime is 11330312033323. The reversal of 11330312033320 is 2333021303311.

It is an interprime number because it is at equal distance from previous prime (11330312033317) and next prime (11330312033323).

It is not an unprimeable number, because it can be changed into a prime (11330312033323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48758929 + ... + 48990751.

It is an arithmetic number, because the mean of its divisors is an integer number (239624877600).

Almost surely, 211330312033320 is an apocalyptic number.

11330312033320 is a gapful number since it is divisible by the number (10) 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 11330312033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15335992166400).

11330312033320 is an abundant number, since it is smaller than the sum of its proper divisors (19341672299480).

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

11330312033320 is a wasteful number, since it uses less digits than its factorization.

11330312033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241047 (or 241043 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 11330312033320 its reverse (2333021303311), we get a palindrome (13663333336631).

The spelling of 11330312033320 in words is "eleven trillion, three hundred thirty billion, three hundred twelve million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 9187 18374 36748 45935 64309 73496 91870 128618 174553 183740 231823 257236 321545 349106 367480 463646 514472 643090 698212 872765 927292 1159115 1221871 1286180 1396424 1622761 1745530 1854584 2318230 2443742 2572360 3245522 3491060 4404637 4636460 4887484 6109355 6491044 6982120 8113805 8809274 9272920 9774968 12218710 12982088 16227610 17618548 22023185 24437420 30832459 32455220 35237096 44046370 48874840 61664918 64910440 88092740 123329836 154162295 176185480 246659672 308324590 616649180 1233298360 2129757901 4259515802 8519031604 10648789505 14908305307 17038063208 21297579010 29816610614 40465400119 42595158020 59633221228 74541526535 80930800238 85190316040 119266442456 149083053070 161861600476 202327000595 283257800833 298166106140 323723200952 404654001190 566515601666 596332212280 809308002380 1133031203332 1416289004165 1618616004760 2266062406664 2832578008330 5665156016660 11330312033320