Search a number
-
+
11001123102321 = 32114315231696811
BaseRepresentation
bin1010000000010110011000…
…0010001101111001110001
31102221200211011222012001200
42200011212002031321301
52420220300003233241
635221502435321413
72213543041326162
oct240054602157161
942850734865050
1011001123102321
113561606213350
121298111a50269
1361a52b003241
142a06587a9769
151412700a54b6
hexa016608de71

11001123102321 has 48 divisors (see below), whose sum is σ = 17749902373632. Its totient is φ = 6508012946400.

The previous prime is 11001123102301. The next prime is 11001123102337. The reversal of 11001123102321 is 12320132110011.

11001123102321 is a `hidden beast` number, since 1 + 10 + 0 + 112 + 310 + 232 + 1 = 666.

It is not a de Polignac number, because 11001123102321 - 25 = 11001123102289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001123102294 and 11001123102303.

It is not an unprimeable number, because it can be changed into a prime (11001123102301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5635006 + ... + 7331816.

It is an arithmetic number, because the mean of its divisors is an integer number (369789632784).

Almost surely, 211001123102321 is an apocalyptic number.

11001123102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001123102321 is a deficient number, since it is larger than the sum of its proper divisors (6748779271311).

11001123102321 is a wasteful number, since it uses less digits than its factorization.

11001123102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698394 (or 1698391 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11001123102321 its reverse (12320132110011), we get a palindrome (23321255212332).

The spelling of 11001123102321 in words is "eleven trillion, one billion, one hundred twenty-three million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 1523 4257 4569 13707 16753 50259 65489 150777 196467 589401 720379 1696811 2161137 5090433 6483411 15271299 18664921 55994763 72962873 167984289 218888619 656665857 802591603 2407774809 2584243153 7223324427 7752729459 23258188377 28426674683 85280024049 111122455579 255840072147 333367366737 1000102100211 1222347011369 3667041034107 11001123102321