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10033031321 = 174189197821
BaseRepresentation
bin10010101100000001…
…11110100010011001
3221220012220210120122
421112000332202121
5131021424000241
64335322403025
7503425234115
oct112600764231
927805823518
1010033031321
114289425a25
121b40060475
13c3b7b4131
146b26c0745
153dac3504b
hex25603e899

10033031321 has 32 divisors (see below), whose sum is σ = 11073918240. Its totient is φ = 9051750400.

The previous prime is 10033031317. The next prime is 10033031329. The reversal of 10033031321 is 12313033001.

It can be written as a sum of positive squares in 16 ways, for example, as 2216526400 + 7816504921 = 47080^2 + 88411^2 .

It is not a de Polignac number, because 10033031321 - 22 = 10033031317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10033031321.

It is not an unprimeable number, because it can be changed into a prime (10033031329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12220091 + ... + 12220911.

It is an arithmetic number, because the mean of its divisors is an integer number (346059945).

Almost surely, 210033031321 is an apocalyptic number.

It is an amenable number.

10033031321 is a deficient number, since it is larger than the sum of its proper divisors (1040886919).

10033031321 is a wasteful number, since it uses less digits than its factorization.

10033031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10033031321 its reverse (12313033001), we get a palindrome (22346064322).

The spelling of 10033031321 in words is "ten billion, thirty-three million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 17 41 89 197 697 821 1513 3349 3649 8077 13957 17533 33661 62033 73069 137309 161737 298061 572237 718853 1242173 2749529 2995829 6631217 12220501 14394593 50929093 112730689 244708081 590178313 10033031321