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1004144522021 = 53136113920737
BaseRepresentation
bin11101001110010111010…
…11010111001100100101
310112222212120001221212122
432213023223113030211
5112422441444201041
62045144141555325
7132355431415424
oct16471353271445
93488776057778
101004144522021
1135794544a703
12142739b75b45
13738c8b1b934
143685aa5b2bb
151b1c0537c4b
hexe9cbad7325

1004144522021 has 8 divisors (see below), whose sum is σ = 1023842438424. Its totient is φ = 984474449920.

The previous prime is 1004144522009. The next prime is 1004144522023. The reversal of 1004144522021 is 1202254414001.

It can be written as a sum of positive squares in 4 ways, for example, as 12604552900 + 991539969121 = 112270^2 + 995761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004144522021 is a prime.

It is a super-2 number, since 2×10041445220212 (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 (1004144522023) 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 7 ways as a sum of consecutive naturals, for example, 6888236 + ... + 7032501.

It is an arithmetic number, because the mean of its divisors is an integer number (127980304803).

Almost surely, 21004144522021 is an apocalyptic number.

It is an amenable number.

1004144522021 is a deficient number, since it is larger than the sum of its proper divisors (19697916403).

1004144522021 is a wasteful number, since it uses less digits than its factorization.

1004144522021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922151.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 1004144522021 its reverse (1202254414001), we get a palindrome (2206398936022).

The spelling of 1004144522021 in words is "one trillion, four billion, one hundred forty-four million, five hundred twenty-two thousand, twenty-one".

Divisors: 1 53 1361 72133 13920737 737799061 18946123057 1004144522021