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10300404440430 = 23251313167204309
BaseRepresentation
bin1001010111100011111111…
…1100101001110101101110
31100110201010220011222112200
42111320333330221311232
52322230212014043210
633523535050442330
72112115424064366
oct225707774516556
940421126158480
1010300404440430
113311416859405
1211a43547333a6
135994299c18a0
14278783c6d9a6
1512ce0cd910c0
hex95e3ff29d6e

10300404440430 has 96 divisors (see below), whose sum is σ = 29061294181920. Its totient is φ = 2516129291520.

The previous prime is 10300404440423. The next prime is 10300404440441. The reversal of 10300404440430 is 3404440400301.

It is a super-2 number, since 2×103004044404302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300404440394 and 10300404440403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33448885 + ... + 33755424.

It is an arithmetic number, because the mean of its divisors is an integer number (302721814395).

Almost surely, 210300404440430 is an apocalyptic number.

10300404440430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10300404440430 is an abundant number, since it is smaller than the sum of its proper divisors (18760889741490).

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

10300404440430 is a wasteful number, since it uses less digits than its factorization.

10300404440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67204466 (or 67204463 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10300404440430 its reverse (3404440400301), we get a palindrome (13704844840731).

The spelling of 10300404440430 in words is "ten trillion, three hundred billion, four hundred four million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 131 195 234 262 390 393 585 655 786 1170 1179 1310 1703 1965 2358 3406 3930 5109 5895 8515 10218 11790 15327 17030 25545 30654 51090 76635 153270 67204309 134408618 201612927 336021545 403225854 604838781 672043090 873656017 1008064635 1209677562 1747312034 2016129270 2620968051 3024193905 4368280085 5241936102 6048387810 7862904153 8736560170 8803764479 13104840255 15725808306 17607528958 26209680510 26411293437 39314520765 44018822395 52822586874 78629041530 79233880311 88037644790 114448938227 132056467185 158467760622 228897876454 264112934370 343346814681 396169401555 572244691135 686693629362 792338803110 1030040444043 1144489382270 1716734073405 2060080888086 3433468146810 5150202220215 10300404440430