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10042433430003 = 3313167411709033
BaseRepresentation
bin1001001000100010111110…
…1011010110000111110011
31022120001021110012211202000
42102020233223112013303
52304013400424230003
633205232532425043
72054353601504232
oct222105753260763
938501243184660
1010042433430003
113221a76958037
12116235a778183
1357acc73cc9a0
1426a0b097cb19
151263603a61a3
hex9222fad61f3

10042433430003 has 32 divisors (see below), whose sum is σ = 16023082447680. Its totient is φ = 6179586266880.

The previous prime is 10042433429981. The next prime is 10042433430011. The reversal of 10042433430003 is 30003433424001.

10042433430003 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 24 + 334 + 300 + 0 + 3 = 666.

It is not a de Polignac number, because 10042433430003 - 28 = 10042433429747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10042433430103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5021575 + ... + 6730607.

It is an arithmetic number, because the mean of its divisors is an integer number (500721326490).

Almost surely, 210042433430003 is an apocalyptic number.

10042433430003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10042433430003 is a deficient number, since it is larger than the sum of its proper divisors (5980649017677).

10042433430003 is a wasteful number, since it uses less digits than its factorization.

10042433430003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725796 (or 1725790 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10042433430003 its reverse (30003433424001), we get a palindrome (40045866854004).

The spelling of 10042433430003 in words is "ten trillion, forty-two billion, four hundred thirty-three million, four hundred thirty thousand, three".

Divisors: 1 3 9 13 27 39 117 351 16741 50223 150669 217633 452007 652899 1709033 1958697 5127099 5876091 15381297 22217429 46143891 66652287 199956861 599870583 28610921453 85832764359 257498293077 371941978889 772494879231 1115825936667 3347477810001 10042433430003