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531210042401 = 17293729121761
BaseRepresentation
bin1111011101011101001…
…01011111110000100001
31212210010221102010201212
413232232211133300201
532200404232324101
61044011242435505
753243610600533
oct7565645376041
91783127363655
10531210042401
11195315247275
1286b51202b95
133b12911229c
141b9d4253853
15dc40acd1bb
hex7bae95fc21

531210042401 has 16 divisors (see below), whose sum is σ = 597578556240. Its totient is φ = 469675745280.

The previous prime is 531210042373. The next prime is 531210042409. The reversal of 531210042401 is 104240012135.

It can be written as a sum of positive squares in 8 ways, for example, as 55248032401 + 475962010000 = 235049^2 + 689900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-531210042401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531210042409) 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 15 ways as a sum of consecutive naturals, for example, 14542640 + ... + 14579121.

It is an arithmetic number, because the mean of its divisors is an integer number (37348659765).

Almost surely, 2531210042401 is an apocalyptic number.

It is an amenable number.

531210042401 is a deficient number, since it is larger than the sum of its proper divisors (66368513839).

531210042401 is a wasteful number, since it uses less digits than its factorization.

531210042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29121844.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 531210042401 its reverse (104240012135), we get a palindrome (635450054536).

The spelling of 531210042401 in words is "five hundred thirty-one billion, two hundred ten million, forty-two thousand, four hundred one".

Divisors: 1 17 29 37 493 629 1073 18241 29121761 495069937 844531069 1077505157 14357028173 18317587669 31247649553 531210042401