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8201520117141 = 3131783117944693
BaseRepresentation
bin111011101011001000010…
…1100010111010110010101
31002001001120001001001001120
41313112100230113112111
52033333203122222031
625235420515314153
71504353212515521
oct167262054272625
932031501031046
108201520117141
11268227732499a
12b056145ab959
13476527b2a120
14204d545bcd81
15e3518aa9a96
hex77590b17595

8201520117141 has 16 divisors (see below), whose sum is σ = 11783146709376. Its totient is φ = 5044258587456.

The previous prime is 8201520117113. The next prime is 8201520117151. The reversal of 8201520117141 is 1417110251028.

It is a happy number.

It is not a de Polignac number, because 8201520117141 - 238 = 7926642210197 is a prime.

It is a super-3 number, since 3×82015201171413 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201520117101) 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, 58902810 + ... + 59041883.

It is an arithmetic number, because the mean of its divisors is an integer number (736446669336).

Almost surely, 28201520117141 is an apocalyptic number.

It is an amenable number.

8201520117141 is a deficient number, since it is larger than the sum of its proper divisors (3581626592235).

8201520117141 is a wasteful number, since it uses less digits than its factorization.

8201520117141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117946492.

The product of its (nonzero) digits is 4480, while the sum is 33.

Adding to 8201520117141 its reverse (1417110251028), we get a palindrome (9618630368169).

The spelling of 8201520117141 in words is "eight trillion, two hundred one billion, five hundred twenty million, one hundred seventeen thousand, one hundred forty-one".

Divisors: 1 3 13 39 1783 5349 23179 69537 117944693 353834079 1533281009 4599843027 210295387619 630886162857 2733840039047 8201520117141