Search a number
-
+
11002203310 = 25717711071217
BaseRepresentation
bin10100011111100100…
…00100110010101110
31001101202120211121111
422033302010302232
5140013031001220
65015423222234
7536434120330
oct121762046256
931352524544
1011002203310
11473650320a
12217074797a
131064519497
147652c5450
15445d7715a
hex28fc84cae

11002203310 has 128 divisors (see below), whose sum is σ = 24549267456. Its totient is φ = 3464724480.

The previous prime is 11002203287. The next prime is 11002203313. The reversal of 11002203310 is 1330220011.

11002203310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110022033102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002203313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9039822 + ... + 9041038.

It is an arithmetic number, because the mean of its divisors is an integer number (191791152).

Almost surely, 211002203310 is an apocalyptic number.

11002203310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11002203310 is an abundant number, since it is smaller than the sum of its proper divisors (13547064146).

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

11002203310 is a wasteful number, since it uses less digits than its factorization.

11002203310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11002203310 its reverse (1330220011), we get a palindrome (12332423321).

The spelling of 11002203310 in words is "eleven billion, two million, two hundred three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 71 85 107 119 142 170 214 238 355 497 535 595 710 749 994 1070 1190 1207 1217 1498 1819 2414 2434 2485 3638 3745 4970 6035 6085 7490 7597 8449 8519 9095 12070 12170 12733 15194 16898 17038 18190 20689 25466 37985 41378 42245 42595 53179 63665 75970 84490 85190 86407 103445 106358 127330 129149 130219 144823 172814 206890 258298 260438 265895 289646 432035 531790 604849 645745 651095 724115 864070 904043 911533 1209698 1291490 1302190 1448230 1468919 1808086 1823066 2213723 2937838 3024245 4427446 4520215 4557665 6048490 7344595 9040430 9115330 9245549 10282433 11068615 14689190 15496061 18491098 20564866 22137230 30992122 46227745 51412165 64718843 77480305 92455490 102824330 129437686 154960610 157174333 314348666 323594215 647188430 785871665 1100220331 1571743330 2200440662 5501101655 11002203310