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821059352113 = 711136949118037
BaseRepresentation
bin10111111001010101111…
…00110111011000110001
32220111022001000200010211
423330222330313120301
5101423012143231423
61425104531224121
7113214421225030
oct13745274673061
92814261020124
10821059352113
11297233665730
12113163148041
135c56bc72580
142ba4d208717
151655706510d
hexbf2af37631

821059352113 has 32 divisors (see below), whose sum is σ = 1102569350400. Its totient is φ = 590482172160.

The previous prime is 821059352107. The next prime is 821059352227. The reversal of 821059352113 is 311253950128.

It is a cyclic number.

It is not a de Polignac number, because 821059352113 - 29 = 821059351601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (821059352513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6896931 + ... + 7014967.

It is an arithmetic number, because the mean of its divisors is an integer number (34455292200).

Almost surely, 2821059352113 is an apocalyptic number.

It is an amenable number.

821059352113 is a deficient number, since it is larger than the sum of its proper divisors (281509998287).

821059352113 is a wasteful number, since it uses less digits than its factorization.

821059352113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125017.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 821059352113 in words is "eight hundred twenty-one billion, fifty-nine million, three hundred fifty-two thousand, one hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 6949 48643 76439 90337 118037 535073 632359 826259 993707 1298407 1534481 6955949 9088849 10741367 16879291 118155037 820239113 5741673791 9022630243 10663108469 63158411701 74641759283 117294193159 821059352113