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434143013100 = 223521785126081
BaseRepresentation
bin1100101000101001111…
…00001010100011101100
31112111121011200010220120
412110110330022203230
524103111102404400
6531235331244540
743236316503156
oct6242474124354
91474534603816
10434143013100
1115813445a4a5
1270181749750
1331c2a148784
141702694bad6
15b45e0e6ca0
hex6514f0a8ec

434143013100 has 72 divisors (see below), whose sum is σ = 1330009905168. Its totient is φ = 108961382400.

The previous prime is 434143013009. The next prime is 434143013207. The reversal of 434143013100 is 1310341434.

It is a super-2 number, since 2×4341430131002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42557941 + ... + 42568140.

It is an arithmetic number, because the mean of its divisors is an integer number (18472359794).

Almost surely, 2434143013100 is an apocalyptic number.

It is an amenable number.

434143013100 is an abundant number, since it is smaller than the sum of its proper divisors (895866892068).

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

434143013100 is a wasteful number, since it uses less digits than its factorization.

434143013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85126115 (or 85126108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 434143013100 its reverse (1310341434), we get a palindrome (435453354534).

The spelling of 434143013100 in words is "four hundred thirty-four billion, one hundred forty-three million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 85126081 170252162 255378243 340504324 425630405 510756486 851260810 1021512972 1276891215 1447143377 1702521620 2128152025 2553782430 2894286754 4256304050 4341430131 5107564860 5788573508 6384456075 7235716885 8512608100 8682860262 12768912150 14471433770 17365720524 21707150655 25537824300 28942867540 36178584425 43414301310 72357168850 86828602620 108535753275 144714337700 217071506550 434143013100