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2443023342100 = 22521119359332533
BaseRepresentation
bin100011100011001111100…
…010011101101000010100
322122112212111102110010201
4203203033202131220110
5310011302433421400
65110150500430244
7341334252531235
oct43431742355024
98575774373121
102443023342100
11862097a94960
123355836a8384
131494b741cb93
148635898108c
1543836a1306a
hex238cf89da14

2443023342100 has 144 divisors (see below), whose sum is σ = 6089568367680. Its totient is φ = 841355596800.

The previous prime is 2443023342079. The next prime is 2443023342103. The reversal of 2443023342100 is 12433203442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443023342103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75077434 + ... + 75109966.

It is an arithmetic number, because the mean of its divisors is an integer number (42288669220).

Almost surely, 22443023342100 is an apocalyptic number.

2443023342100 is a gapful number since it is divisible by the number (20) 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 2443023342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044784183840).

2443023342100 is an abundant number, since it is smaller than the sum of its proper divisors (3646545025580).

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

2443023342100 is a wasteful number, since it uses less digits than its factorization.

2443023342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36170 (or 36163 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2443023342100 its reverse (12433203442), we get a palindrome (2455456545542).

The spelling of 2443023342100 in words is "two trillion, four hundred forty-three billion, twenty-three million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 3593 4180 5225 7186 10450 14372 17965 20900 32533 35930 39523 65066 68267 71860 79046 89825 130132 136534 158092 162665 179650 197615 273068 325330 341335 357863 359300 395230 618127 650660 682670 715726 750937 790460 813325 988075 1236254 1365340 1431452 1501874 1626650 1706675 1789315 1976150 2472508 3003748 3090635 3253300 3413350 3578630 3754685 3952300 6181270 6799397 6826700 7157260 7509370 8946575 12362540 13598794 15018740 15453175 17893150 18773425 27197588 30906350 33996985 35786300 37546850 61812700 67993970 75093700 116891069 135987940 169984925 233782138 339969850 467564276 584455345 679939700 1168910690 1285801759 2220930311 2337821380 2571603518 2922276725 4441860622 5143207036 5844553450 6429008795 8883721244 11104651555 11689106900 12858017590 22209303110 24430233421 25716035180 32145043975 44418606220 48860466842 55523257775 64290087950 97720933684 111046515550 122151167105 128580175900 222093031100 244302334210 488604668420 610755835525 1221511671050 2443023342100