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1004024101133 = 7121571737333
BaseRepresentation
bin11101001110001000111…
…11111111100100001101
310112222120011110221110202
432213010133333210031
5112422220132214013
62045124200543245
7132352440022214
oct16470437774415
93488504427422
101004024101133
11357893480709
12142705781b25
13738a9ba8281
1436848a7207b
151b1b4b9c858
hexe9c47ff90d

1004024101133 has 24 divisors (see below), whose sum is σ = 1030915415064. Its totient is φ = 977759153280.

The previous prime is 1004024101103. The next prime is 1004024101139. The reversal of 1004024101133 is 3311014204001.

It can be written as a sum of positive squares in 4 ways, for example, as 30332750569 + 973691350564 = 174163^2 + 986758^2 .

It is a de Polignac number, because none of the positive numbers 2k-1004024101133 is a prime.

It is a super-2 number, since 2×10040241011332 (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 (1004024101139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136914935 + ... + 136922267.

It is an arithmetic number, because the mean of its divisors is an integer number (42954808961).

Almost surely, 21004024101133 is an apocalyptic number.

It is an amenable number.

1004024101133 is a deficient number, since it is larger than the sum of its proper divisors (26891313931).

1004024101133 is an equidigital number, since it uses as much as digits as its factorization.

1004024101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1004024101133 its reverse (3311014204001), we get a palindrome (4315038305134).

The spelling of 1004024101133 in words is "one trillion, four billion, twenty-four million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 71 157 173 5041 7333 11147 12283 27161 520643 791437 872093 1151281 1268609 1928431 36965653 81740951 90071239 136918601 199171613 5803607521 6395057969 14141184523 1004024101133