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10430403220 = 22531671931301
BaseRepresentation
bin10011011011011001…
…10101001010010100
3222220220122101100101
421231230311022110
5132330140400340
64442555423444
7516321651556
oct115554651224
928826571311
1010430403220
114472766356
122031154b84
13ca2c15433
1470d39d4d6
15410a79c9a
hex26db35294

10430403220 has 96 divisors (see below), whose sum is σ = 23084522496. Its totient is φ = 3953664000.

The previous prime is 10430403199. The next prime is 10430403271. The reversal of 10430403220 is 2230403401.

10430403220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104304032202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8016570 + ... + 8017870.

It is an arithmetic number, because the mean of its divisors is an integer number (240463776).

Almost surely, 210430403220 is an apocalyptic number.

10430403220 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 10430403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542261248).

10430403220 is an abundant number, since it is smaller than the sum of its proper divisors (12654119276).

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

10430403220 is a wasteful number, since it uses less digits than its factorization.

10430403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10430403220 its reverse (2230403401), we get a palindrome (12660806621).

The spelling of 10430403220 in words is "ten billion, four hundred thirty million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 193 268 310 335 386 620 670 772 965 1301 1340 1930 2077 2602 3860 4154 5204 5983 6505 8308 10385 11966 12931 13010 20770 23932 25862 26020 29915 40331 41540 51724 59830 64655 80662 87167 119660 129310 161324 174334 201655 251093 258620 348668 400861 403310 435835 502186 801722 806620 871670 1004372 1255465 1603444 1743340 2004305 2510930 2702177 4008610 5021860 5404354 7783883 8017220 10808708 13510885 15567766 16823231 27021770 31135532 33646462 38919415 54043540 67292924 77838830 84116155 155677660 168232310 336464620 521520161 1043040322 2086080644 2607600805 5215201610 10430403220