Search a number
-
+
11002023000120 = 2335402412278361
BaseRepresentation
bin1010000000011001101110…
…1011000011100000111000
31102221210010220021201202210
42200012123223003200320
52420224120342000440
635222132023255120
72213604246331005
oct240063353034070
942853126251683
1011002023000120
113561a28185939
1212983232aa4a0
1361a642592249
142a07020da8ac
151412c40b1a80
hexa019bac3838

11002023000120 has 64 divisors (see below), whose sum is σ = 33006903697440. Its totient is φ = 2933798604800.

The previous prime is 11002023000053. The next prime is 11002023000161. The reversal of 11002023000120 is 2100032020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11002023000096 and 11002023000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689740 + ... + 5968100.

Almost surely, 211002023000120 is an apocalyptic number.

11002023000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002023000120 is an abundant number, since it is smaller than the sum of its proper divisors (22004880697320).

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

11002023000120 is a wasteful number, since it uses less digits than its factorization.

11002023000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318616 (or 2318612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11002023000120 its reverse (2100032020011), we get a palindrome (13102055020131).

The spelling of 11002023000120 in words is "eleven trillion, two billion, twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 40241 80482 120723 160964 201205 241446 321928 402410 482892 603615 804820 965784 1207230 1609640 2278361 2414460 4556722 4828920 6835083 9113444 11391805 13670166 18226888 22783610 27340332 34175415 45567220 54680664 68350830 91134440 136701660 273403320 91683525001 183367050002 275050575003 366734100004 458417625005 550101150006 733468200008 916835250010 1100202300012 1375252875015 1833670500020 2200404600024 2750505750030 3667341000040 5501011500060 11002023000120