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10430321024 = 271271973257
BaseRepresentation
bin10011011011011001…
…00001000110000000
3222220220111012121002
421231230201012000
5132330130233044
64442553551132
7516321160124
oct115554410600
928826435532
1010430321024
11447270a622
1220311154a8
13ca2bb6bb6
1470d37b584
15410a6074e
hex26db21180

10430321024 has 64 divisors (see below), whose sum is σ = 21055541760. Its totient is φ = 5146251264.

The previous prime is 10430321017. The next prime is 10430321063. The reversal of 10430321024 is 42012303401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10430320987 and 10430321005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3200804 + ... + 3204060.

It is an arithmetic number, because the mean of its divisors is an integer number (328992840).

Almost surely, 210430321024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527770880).

10430321024 is an abundant number, since it is smaller than the sum of its proper divisors (10625220736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10430321024 is a wasteful number, since it uses less digits than its factorization.

10430321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10430321024 its reverse (42012303401), we get a palindrome (52442624425).

The spelling of 10430321024 in words is "ten billion, four hundred thirty million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 127 128 197 254 394 508 788 1016 1576 2032 3152 3257 4064 6304 6514 8128 12608 13028 16256 25019 25216 26056 50038 52112 100076 104224 200152 208448 400304 413639 416896 641629 800608 827278 1283258 1601216 1654556 2566516 3202432 3309112 5133032 6618224 10266064 13236448 20532128 26472896 41064256 52945792 81486883 82128512 162973766 325947532 651895064 1303790128 2607580256 5215160512 10430321024