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10430423300 = 22521147229881
BaseRepresentation
bin10011011011011001…
…11010000100000100
3222220220200101220002
421231230322010010
5132330142021200
64443000100432
7516322064243
oct115554720404
928826611802
1010430423300
11447277a450
122031164718
13ca2c2160b
1470d3a695a
15410a80bd5
hex26db3a104

10430423300 has 144 divisors (see below), whose sum is σ = 25355877120. Its totient is φ = 3691776000.

The previous prime is 10430423299. The next prime is 10430423351. The reversal of 10430423300 is 332403401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11838860 + ... + 11839740.

It is an arithmetic number, because the mean of its divisors is an integer number (176082480).

Almost surely, 210430423300 is an apocalyptic number.

10430423300 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 10430423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677938560).

10430423300 is an abundant number, since it is smaller than the sum of its proper divisors (14925453820).

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

10430423300 is a wasteful number, since it uses less digits than its factorization.

10430423300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10430423300 its reverse (332403401), we get a palindrome (10762826701).

The spelling of 10430423300 in words is "ten billion, four hundred thirty million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 229 235 275 458 470 517 550 881 916 940 1034 1100 1145 1175 1762 2068 2290 2350 2519 2585 3524 4405 4580 4700 5038 5170 5725 8810 9691 10076 10340 10763 11450 12595 12925 17620 19382 21526 22025 22900 25190 25850 38764 41407 43052 44050 48455 50380 51700 53815 62975 82814 88100 96910 107630 118393 125950 165628 193820 201749 207035 215260 236786 242275 251900 269075 403498 414070 455477 473572 484550 538150 591965 806996 828140 910954 969100 1008745 1035175 1076300 1183930 1821908 2017490 2070350 2219239 2277385 2367860 2959825 4034980 4140700 4438478 4554770 5043725 5919650 8876956 9109540 9482203 10087450 11096195 11386925 11839300 18964406 20174900 22192390 22773850 37928812 44384780 45547700 47411015 55480975 94822030 104304233 110961950 189644060 208608466 221923900 237055075 417216932 474110150 521521165 948220300 1043042330 2086084660 2607605825 5215211650 10430423300