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42333313303001 = 7211319973828509
BaseRepresentation
bin10011010000000011111100…
…00110100000000111011001
312112220000200101120000122202
421220001332012200013121
521022042111201144001
6230011353342055545
711626323652632500
oct1150017606400731
9175800611500582
1042333313303001
1112541503806826
1248b8590b7a5b5
131a810255b1c36
14a64d2c595837
154d62bed1196b
hex26807e1a01d9

42333313303001 has 24 divisors (see below), whose sum is σ = 49705560644040. Its totient is φ = 35946566057472.

The previous prime is 42333313302977. The next prime is 42333313303027. The reversal of 42333313303001 is 10030331333324.

It can be written as a sum of positive squares in 4 ways, for example, as 14688431837401 + 27644881465600 = 3832549^2 + 5257840^2 .

It is not a de Polignac number, because 42333313303001 - 238 = 42058435396057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42333313303081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9143135 + ... + 12971643.

It is an arithmetic number, because the mean of its divisors is an integer number (2071065026835).

Almost surely, 242333313303001 is an apocalyptic number.

It is an amenable number.

42333313303001 is a deficient number, since it is larger than the sum of its proper divisors (7372247341039).

42333313303001 is a wasteful number, since it uses less digits than its factorization.

42333313303001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830633 (or 3830626 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 42333313303001 its reverse (10030331333324), we get a palindrome (52363644636325).

The spelling of 42333313303001 in words is "forty-two trillion, three hundred thirty-three billion, three hundred thirteen million, three hundred three thousand, one".

Divisors: 1 7 49 113 791 1997 5537 13979 97853 225661 1579627 3828509 11057389 26799563 187596941 432621517 3028350619 7645532473 21198454333 53518727311 374631091177 863945169449 6047616186143 42333313303001