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10003312221 = 372316133581
BaseRepresentation
bin10010101000011111…
…00110111001011101
3221211010222220122020
421110033212321131
5130441321442341
64332341410353
7502614515400
oct112417467135
927733886566
1010003312221
114273677591
121b321099b9
13c355a9c76
146ac785d37
153d8314566
hex2543e6e5d

10003312221 has 48 divisors (see below), whose sum is σ = 16046443008. Its totient is φ = 5521219200.

The previous prime is 10003312217. The next prime is 10003312259. The reversal of 10003312221 is 12221330001.

It is not a de Polignac number, because 10003312221 - 22 = 10003312217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10003312221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003312211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2791651 + ... + 2795231.

It is an arithmetic number, because the mean of its divisors is an integer number (334300896).

Almost surely, 210003312221 is an apocalyptic number.

It is an amenable number.

10003312221 is a deficient number, since it is larger than the sum of its proper divisors (6043130787).

10003312221 is a wasteful number, since it uses less digits than its factorization.

10003312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10003312221 its reverse (12221330001), we get a palindrome (22224642222).

The spelling of 10003312221 in words is "ten billion, three million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 21 31 49 93 147 217 613 651 1519 1839 3581 4291 4557 10743 12873 19003 25067 30037 57009 75201 90111 111011 133021 175469 333033 399063 526407 777077 931147 2195153 2331231 2793441 5439539 6585459 15366071 16318617 46098213 68049743 107562497 204149229 322687491 476348201 1429044603 3334437407 10003312221