Search a number
-
+
11002246020 = 223251923313807
BaseRepresentation
bin10100011111100100…
…01111001110000100
31001101202200000012100
422033302033032010
5140013033333040
65015424152100
7536434356003
oct121762171604
931352600170
1011002246020
114736532307
122170768630
131064532a5c
147652d6c3a
15445d84b30
hex28fc8f384

11002246020 has 144 divisors (see below), whose sum is σ = 35283306240. Its totient is φ = 2767385088.

The previous prime is 11002246019. The next prime is 11002246063. The reversal of 11002246020 is 2064220011.

11002246020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002245984 and 11002246002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789957 + ... + 803763.

It is an arithmetic number, because the mean of its divisors is an integer number (245022960).

Almost surely, 211002246020 is an apocalyptic number.

11002246020 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 11002246020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641653120).

11002246020 is an abundant number, since it is smaller than the sum of its proper divisors (24281060220).

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

11002246020 is a wasteful number, since it uses less digits than its factorization.

11002246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14074 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11002246020 its reverse (2064220011), we get a palindrome (13066466031).

The spelling of 11002246020 in words is "eleven billion, two million, two hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 233 285 342 380 466 570 684 699 855 932 1140 1165 1398 1710 2097 2330 2796 3420 3495 4194 4427 4660 6990 8388 8854 10485 13281 13807 13980 17708 20970 22135 26562 27614 39843 41421 41940 44270 53124 55228 66405 69035 79686 82842 88540 124263 132810 138070 159372 165684 199215 207105 248526 262333 265620 276140 398430 414210 497052 524666 621315 786999 796860 828420 1049332 1242630 1311665 1573998 2360997 2485260 2623330 3147996 3217031 3934995 4721994 5246660 6434062 7869990 9443988 9651093 11804985 12868124 15739980 16085155 19302186 23609970 28953279 32170310 38604372 47219940 48255465 57906558 61123589 64340620 96510930 115813116 122247178 144766395 183370767 193021860 244494356 289532790 305617945 366741534 550112301 579065580 611235890 733483068 916853835 1100224602 1222471780 1833707670 2200449204 2750561505 3667415340 5501123010 11002246020