Search a number
-
+
11312240243202 = 2325985715238161
BaseRepresentation
bin1010010010011101011000…
…0011111011001000000010
31111001102212110202111010100
42210213112003323020002
52440314432000240302
640020434343343230
72245165600360143
oct244472603731002
944042773674110
1011312240243202
113671548787088
12132847a451b16
136409800c1c02
142b1730191aca
151493cd741d1c
hexa49d60fb202

11312240243202 has 96 divisors (see below), whose sum is σ = 24973804215360. Its totient is φ = 3699625973760.

The previous prime is 11312240243179. The next prime is 11312240243207. The reversal of 11312240243202 is 20234204221311.

11312240243202 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 224 + 0 + 2 + 432 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11312240243207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1386130002 + ... + 1386138162.

It is an arithmetic number, because the mean of its divisors is an integer number (260143793910).

Almost surely, 211312240243202 is an apocalyptic number.

11312240243202 is an abundant number, since it is smaller than the sum of its proper divisors (13661563972158).

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

11312240243202 is a wasteful number, since it uses less digits than its factorization.

11312240243202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11312240243202 its reverse (20234204221311), we get a palindrome (31546444464513).

The spelling of 11312240243202 in words is "eleven trillion, three hundred twelve billion, two hundred forty million, two hundred forty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 857 1062 1523 1714 2571 3046 4569 5142 7713 8161 9138 13707 15426 16322 24483 27414 48966 50563 73449 89857 101126 146898 151689 179714 269571 303378 455067 481499 539142 808713 910134 962998 1305211 1444497 1617426 2610422 2888994 3915633 4333491 6993977 7831266 8666982 11746899 12429203 13987954 20981931 23493798 24858406 37287609 41963862 62945793 74575218 77007449 111862827 125891586 154014898 223725654 231022347 412644643 462044694 693067041 733322977 825289286 1237933929 1386134082 1466645954 2199968931 2475867858 3713801787 4399937862 6599906793 7427603574 10651826971 13199813586 21303653942 31955480913 63910961826 95866442739 191732885478 628457791289 1256915582578 1885373373867 3770746747734 5656120121601 11312240243202