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4283801106 = 23132397103239
BaseRepresentation
bin1111111101010101…
…1001111000010010
3102001112201122101020
43333111121320102
532233123113411
61545024420310
7211104465024
oct37725317022
912045648336
104283801106
1118a91041a2
129b6777696
1353366a270
142c8d0c014
151a1134606
hexff559e12

4283801106 has 128 divisors (see below), whose sum is σ = 9862594560. Its totient is φ = 1230501888.

The previous prime is 4283801099. The next prime is 4283801113. The reversal of 4283801106 is 6011083824.

It is an interprime number because it is at equal distance from previous prime (4283801099) and next prime (4283801113).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17923735 + ... + 17923973.

It is an arithmetic number, because the mean of its divisors is an integer number (77051520).

Almost surely, 24283801106 is an apocalyptic number.

4283801106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4283801106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931297280).

4283801106 is an abundant number, since it is smaller than the sum of its proper divisors (5578793454).

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

4283801106 is a wasteful number, since it uses less digits than its factorization.

4283801106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4283801106 is about 65450.7532882548. The cubic root of 4283801106 is about 1624.0887806161.

The spelling of 4283801106 in words is "four billion, two hundred eighty-three million, eight hundred one thousand, one hundred six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 97 103 138 194 206 239 291 299 309 478 582 598 618 717 897 1261 1339 1434 1794 2231 2369 2522 2678 3107 3783 4017 4462 4738 5497 6214 6693 7107 7566 8034 9321 9991 10994 13386 14214 16491 18642 19982 23183 24617 29003 29973 30797 32982 46366 49234 58006 59946 61594 69549 71461 73851 87009 92391 129883 139098 142922 147702 174018 184782 214383 229793 259766 301379 320021 389649 428766 459586 533209 566191 602758 640042 689379 779298 904137 960063 1066418 1132382 1378758 1599627 1698573 1808274 1920126 2387849 2987309 3199254 3397146 4775698 5974618 6931717 7163547 7360483 8961927 13863434 14327094 14720966 17923854 20795151 22081449 31042037 41590302 44162898 54920527 62084074 93126111 109841054 164761581 186252222 329523162 713966851 1427933702 2141900553 4283801106