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4342122120 = 2335746111213
BaseRepresentation
bin1000000101100111…
…11000011010001000
3102012121110122202210
410002303320122020
532343040401440
61554510425120
7212413300110
oct40263703210
912177418683
104342122120
111929018686
12a122021a0
13542779c3b
142d2970040
151a6304a80
hex102cf8688

4342122120 has 128 divisors (see below), whose sum is σ = 14920899840. Its totient is φ = 990243840.

The previous prime is 4342122023. The next prime is 4342122143. The reversal of 4342122120 is 212212434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381634 + ... + 392846.

It is an arithmetic number, because the mean of its divisors is an integer number (116569530).

Almost surely, 24342122120 is an apocalyptic number.

4342122120 is a gapful number since it is divisible by the number (40) 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 4342122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460449920).

4342122120 is an abundant number, since it is smaller than the sum of its proper divisors (10578777720).

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

4342122120 is a wasteful number, since it uses less digits than its factorization.

4342122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11695 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4342122120 is about 65894.7806734342. The cubic root of 4342122120 is about 1631.4258691493.

Adding to 4342122120 its reverse (212212434), we get a palindrome (4554334554).

The spelling of 4342122120 in words is "four billion, three hundred forty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 461 840 922 1383 1844 2305 2766 3227 3688 4610 5532 6454 6915 9220 9681 11064 11213 12908 13830 16135 18440 19362 22426 25816 27660 32270 33639 38724 44852 48405 55320 56065 64540 67278 77448 78491 89704 96810 112130 129080 134556 156982 168195 193620 224260 235473 269112 313964 336390 387240 392455 448520 470946 627928 672780 784910 941892 1177365 1345560 1569820 1883784 2354730 3139640 4709460 5169193 9418920 10338386 15507579 20676772 25845965 31015158 36184351 41353544 51691930 62030316 72368702 77537895 103383860 108553053 124060632 144737404 155075790 180921755 206767720 217106106 289474808 310151580 361843510 434212212 542765265 620303160 723687020 868424424 1085530530 1447374040 2171061060 4342122120