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10304214031 = 317983163311
BaseRepresentation
bin10011001100010110…
…11101010000001111
3222121010012022022201
421212023131100033
5132100334322111
64422251022331
7513230242216
oct114613352017
928533168281
1010304214031
114408507571
121bb6a3a9a7
13c82a32387
146da71207d
154049506c1
hex2662dd40f

10304214031 has 32 divisors (see below), whose sum is σ = 11003166720. Its totient is φ = 9636213600.

The previous prime is 10304213993. The next prime is 10304214073. The reversal of 10304214031 is 13041240301.

10304214031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10304214031 - 27 = 10304213903 is a prime.

It is a super-2 number, since 2×103042140312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304214931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33132366 + ... + 33132676.

It is an arithmetic number, because the mean of its divisors is an integer number (343848960).

Almost surely, 210304214031 is an apocalyptic number.

10304214031 is a deficient number, since it is larger than the sum of its proper divisors (698952689).

10304214031 is a wasteful number, since it uses less digits than its factorization.

10304214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10304214031 its reverse (13041240301), we get a palindrome (23345454332).

The spelling of 10304214031 in words is "ten billion, three hundred four million, two hundred fourteen thousand, thirty-one".

Divisors: 1 31 79 83 163 311 2449 2573 5053 6557 9641 12877 13529 24569 25813 50693 203267 399187 419399 761639 800203 1068791 1571483 2039227 4004747 4207519 33132521 63216037 124147157 130433089 332394001 10304214031