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11002442332230 = 23251633049245981
BaseRepresentation
bin1010000000011011010010…
…1010101011100001000110
31102221211020010100000021200
42200012310222223201012
52420231000214112410
635222241403123330
72213620530520416
oct240066452534106
942854203300250
1011002442332230
1135621229552a8
12129841b813546
1361a6ab411c5b
142a0741a94646
151412eace33c0
hexa01b4aab846

11002442332230 has 96 divisors (see below), whose sum is σ = 28791405957600. Its totient is φ = 2915016491520.

The previous prime is 11002442332223. The next prime is 11002442332279. The reversal of 11002442332230 is 3223324420011.

11002442332230 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 4 + 423 + 3 + 2 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11002442332194 and 11002442332203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44605840 + ... + 44851820.

It is an arithmetic number, because the mean of its divisors is an integer number (299910478725).

Almost surely, 211002442332230 is an apocalyptic number.

11002442332230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002442332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395702978800).

11002442332230 is an abundant number, since it is smaller than the sum of its proper divisors (17788963625370).

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

11002442332230 is a wasteful number, since it uses less digits than its factorization.

11002442332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249206 (or 249203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11002442332230 its reverse (3223324420011), we get a palindrome (14225766752241).

The spelling of 11002442332230 in words is "eleven trillion, two billion, four hundred forty-two million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 3049 4890 6098 7335 9147 14670 15245 18294 27441 30490 45735 54882 91470 137205 245981 274410 491962 496987 737943 993974 1229905 1475886 1490961 2213829 2459810 2484935 2981922 3689715 4427658 4472883 4969870 7379430 7454805 8945766 11069145 14909610 22138290 22364415 40094903 44728830 80189806 120284709 200474515 240569418 360854127 400949030 601423545 721708254 749996069 1202847090 1499992138 1804270635 2249988207 3608541270 3749980345 4499976414 6749964621 7499960690 11249941035 13499929242 22499882070 33749823105 67499646210 122249359247 244498718494 366748077741 611246796235 733496155482 1100244233223 1222493592470 1833740388705 2200488466446 3667480777410 5501221166115 11002442332230