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10343424300 = 223521123136277
BaseRepresentation
bin10011010001000010…
…00010000100101100
3222200211222101200220
421220201002010230
5132140404034200
64430211251340
7514214440656
oct115041020454
928624871626
1010343424300
114428658850
122007ba9b50
13c8abb0611
147019db6d6
154080e84a0
hex26884212c

10343424300 has 144 divisors (see below), whose sum is σ = 34067319552. Its totient is φ = 2398457600.

The previous prime is 10343424271. The next prime is 10343424337. The reversal of 10343424300 is 342434301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7762 + ... + 144038.

It is an arithmetic number, because the mean of its divisors is an integer number (236578608).

Almost surely, 210343424300 is an apocalyptic number.

10343424300 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 10343424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033659776).

10343424300 is an abundant number, since it is smaller than the sum of its proper divisors (23723895252).

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

10343424300 is a wasteful number, since it uses less digits than its factorization.

10343424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136328 (or 136321 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10343424300 its reverse (342434301), we get a palindrome (10685858601).

The spelling of 10343424300 in words is "ten billion, three hundred forty-three million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 136277 272554 408831 545108 681385 817662 1362770 1499047 1635324 2044155 2725540 2998094 3134371 3406925 4088310 4497141 5996188 6268742 6813850 7495235 8176620 8994282 9403113 10220775 12537484 13627700 14990470 15671855 17988564 18806226 20441550 22485705 29980940 31343710 34478081 37476175 37612452 40883100 44971410 47015565 62687420 68956162 74952350 78359275 89942820 94031130 103434243 112428525 137912324 149904700 156718550 172390405 188062260 206868486 224857050 235077825 313437100 344780810 413736972 449714100 470155650 517171215 689561620 861952025 940311300 1034342430 1723904050 2068684860 2585856075 3447808100 5171712150 10343424300