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10420430341200 = 2435211789426541
BaseRepresentation
bin1001011110100011001000…
…0011001000010001010000
31100220011221201002111012220
42113220302003020101100
52331212020131404300
634055025110221040
72123564656313265
oct227506203102120
940804851074186
1010420430341200
1133583092a4120
121203671054780
135a7847377149
142804cc7d926c
151310d5260da0
hex97a320c8450

10420430341200 has 120 divisors (see below), whose sum is σ = 36414667529376. Its totient is φ = 2526164928000.

The previous prime is 10420430341183. The next prime is 10420430341207. The reversal of 10420430341200 is 214303402401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420430341207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394700071 + ... + 394726470.

Almost surely, 210420430341200 is an apocalyptic number.

10420430341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420430341200 is an abundant number, since it is smaller than the sum of its proper divisors (25994237188176).

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

10420430341200 is a wasteful number, since it uses less digits than its factorization.

10420430341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789426573 (or 789426562 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10420430341200 its reverse (214303402401), we get a palindrome (10634733743601).

The spelling of 10420430341200 in words is "ten trillion, four hundred twenty billion, four hundred thirty million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 789426541 1578853082 2368279623 3157706164 3947132705 4736559246 6315412328 7894265410 8683691951 9473118492 11841398115 12630824656 15788530820 17367383902 18946236984 19735663525 23682796230 26051075853 31577061640 34734767804 37892473968 39471327050 43418459755 47365592460 52102151706 59206990575 63154123280 69469535608 78942654100 86836919510 94731184920 104204303412 118413981150 130255379265 138939071216 157885308200 173673839020 189462369840 208408606824 217092298775 236827962300 260510758530 315770616400 347347678040 416817213648 434184597550 473655924600 521021517060 651276896325 694695356080 868369195100 947311849200 1042043034120 1302553792650 1736738390200 2084086068240 2605107585300 3473476780400 5210215170600 10420430341200