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1004224133143 = 71159921772741
BaseRepresentation
bin11101001110100000110…
…11000011100000010111
310120000002002212121210201
432213100123003200113
5112423122334230033
62045200104201331
7132360416202010
oct16472033034027
93500062777721
101004224133143
11357986385720
12142760769247
137390c473cca
1436867462007
151b1c751147d
hexe9d06c3817

1004224133143 has 16 divisors (see below), whose sum is σ = 1254109939200. Its totient is φ = 781205911200.

The previous prime is 1004224133131. The next prime is 1004224133173. The reversal of 1004224133143 is 3413314224001.

It is a happy number.

It is not a de Polignac number, because 1004224133143 - 25 = 1004224133111 is a prime.

It is a super-2 number, since 2×10042241331432 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004224133123) 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 15 ways as a sum of consecutive naturals, for example, 10840248 + ... + 10932493.

It is an arithmetic number, because the mean of its divisors is an integer number (78381871200).

Almost surely, 21004224133143 is an apocalyptic number.

1004224133143 is a deficient number, since it is larger than the sum of its proper divisors (249885806057).

1004224133143 is a wasteful number, since it uses less digits than its factorization.

1004224133143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21773358.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1004224133143 its reverse (3413314224001), we get a palindrome (4417538357144).

The spelling of 1004224133143 in words is "one trillion, four billion, two hundred twenty-four million, one hundred thirty-three thousand, one hundred forty-three".

Divisors: 1 7 11 77 599 4193 6589 46123 21772741 152409187 239500151 1676501057 13041871859 91293103013 143460590449 1004224133143