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10430530000 = 24541194823
BaseRepresentation
bin10011011011011010…
…10100000111010000
3222220220212211020221
421231231110013100
5132330203430000
64443002242424
7516323020312
oct115555240720
928826784227
1010430530000
114472842630
1220311b6414
13ca2c5b057
1470d3d37b2
15410aa261a
hex26db541d0

10430530000 has 100 divisors (see below), whose sum is σ = 27549406368. Its totient is φ = 3792880000.

The previous prime is 10430529953. The next prime is 10430530007. The reversal of 10430530000 is 3503401.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430530007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62589 + ... + 157411.

Almost surely, 210430530000 is an apocalyptic number.

10430530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774703184).

10430530000 is an abundant number, since it is smaller than the sum of its proper divisors (17118876368).

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

10430530000 is an equidigital number, since it uses as much as digits as its factorization.

10430530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94862 (or 94841 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The spelling of 10430530000 in words is "ten billion, four hundred thirty million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 94823 110000 189646 379292 474115 758584 948230 1043053 1517168 1896460 2086106 2370575 3792920 4172212 4741150 5215265 7585840 8344424 9482300 10430530 11852875 16688848 18964600 20861060 23705750 26076325 37929200 41722120 47411500 52152650 59264375 83444240 94823000 104305300 118528750 130381625 189646000 208610600 237057500 260763250 417221200 474115000 521526500 651908125 948230000 1043053000 1303816250 2086106000 2607632500 5215265000 10430530000