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10330130430 = 2325972814211
BaseRepresentation
bin10011001111011100…
…10100011111111110
3222122220221222221100
421213232110133332
5132124003133210
64425014313530
7513663442224
oct114756243776
928586858840
1010330130430
1144210a8984
1220036588a6
13c88207719
146ddd3ab14
15406d6e5c0
hex267b947fe

10330130430 has 96 divisors (see below), whose sum is σ = 27238262688. Its totient is φ = 2715955200.

The previous prime is 10330130411. The next prime is 10330130431. The reversal of 10330130430 is 3403103301.

10330130430 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 304 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330130431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451025 + ... + 2455235.

It is an arithmetic number, because the mean of its divisors is an integer number (283731903).

Almost surely, 210330130430 is an apocalyptic number.

10330130430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619131344).

10330130430 is an abundant number, since it is smaller than the sum of its proper divisors (16908132258).

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

10330130430 is a wasteful number, since it uses less digits than its factorization.

10330130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10330130430 its reverse (3403103301), we get a palindrome (13733233731).

The spelling of 10330130430 in words is "ten billion, three hundred thirty million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 281 291 485 562 582 843 873 970 1405 1455 1686 1746 2529 2810 2910 4211 4215 4365 5058 8422 8430 8730 12633 12645 21055 25266 25290 27257 37899 42110 54514 63165 75798 81771 126330 136285 163542 189495 245313 272570 378990 408467 408855 490626 816934 817710 1183291 1225401 1226565 2042335 2366582 2450802 2453130 3549873 3676203 4084670 5916455 6127005 7099746 7352406 10649619 11832910 12254010 17749365 18381015 21299238 35498730 36762030 53248095 106496190 114779227 229558454 344337681 573896135 688675362 1033013043 1147792270 1721688405 2066026086 3443376810 5165065215 10330130430