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11003032101321 = 32131492234636113
BaseRepresentation
bin1010000000011101011111…
…0100011110000111001001
31102221212202020002101101100
42200013113310132013021
52420233202204220241
635222420112012013
72213641251466011
oct240072764360711
942855666071340
1011003032101321
1135623a5855577
121298565231009
1361a773667b50
142a079a136c41
1514133298e9b6
hexa01d7d1e1c9

11003032101321 has 96 divisors (see below), whose sum is σ = 17348186419200. Its totient is φ = 6679939166208.

The previous prime is 11003032101287. The next prime is 11003032101323. The reversal of 11003032101321 is 12310123030011.

11003032101321 is a `hidden beast` number, since 1 + 100 + 30 + 3 + 210 + 1 + 321 = 666.

It is not a de Polignac number, because 11003032101321 - 211 = 11003032099273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11003032101294 and 11003032101303.

It is not an unprimeable number, because it can be changed into a prime (11003032101323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1799936761 + ... + 1799942873.

It is an arithmetic number, because the mean of its divisors is an integer number (180710275200).

Almost surely, 211003032101321 is an apocalyptic number.

It is an amenable number.

11003032101321 is a deficient number, since it is larger than the sum of its proper divisors (6345154317879).

11003032101321 is a wasteful number, since it uses less digits than its factorization.

11003032101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11003032101321 its reverse (12310123030011), we get a palindrome (23313155131332).

The spelling of 11003032101321 in words is "eleven trillion, three billion, thirty-two million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 149 223 447 463 669 1341 1389 1937 2007 2899 4167 5811 6019 6113 8697 17433 18057 18339 26091 33227 54171 55017 68987 79469 99681 103249 206961 238407 299043 309747 431951 620883 715221 896831 910837 929241 1295853 1342237 1363199 2690493 2732511 2830319 3887559 4026711 4089597 8071479 8197533 8490957 11840881 12080133 12268791 15384101 17721587 25472871 35522643 36794147 46152303 53164761 106567929 110382441 138456909 159494283 199993313 203116651 331147323 421717531 599979939 609349953 631161137 1265152593 1799939817 1828049859 1893483411 2640516463 3795457779 5482327903 5680450233 7921549389 8205094781 16446983709 23764648167 24615284343 49340951127 73845853029 94043009413 282129028239 846387084717 1222559122369 3667677367107 11003032101321