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820391039112221 = 22782722971902517
BaseRepresentation
bin1011101010001001000010110…
…0011101101001010000011101
310222120202121200002001211210122
42322202100230131221100131
51330012241322003042341
612024454235045244325
7334542203510336423
oct27242205435512035
93876677602054718
10820391039112221
11218446982035045
12780193431036a5
132929c70a082cb5
14106831d115d113
1564ca3c0e8894b
hex2ea242c76941d

820391039112221 has 16 divisors (see below), whose sum is σ = 825361073741376. Its totient is φ = 815433760369536.

The previous prime is 820391039112131. The next prime is 820391039112277. The reversal of 820391039112221 is 122211930193028.

It is a cyclic number.

It is not a de Polignac number, because 820391039112221 - 222 = 820391034917917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820391039112121) 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, 430262255 + ... + 432164771.

It is an arithmetic number, because the mean of its divisors is an integer number (51585067108836).

Almost surely, 2820391039112221 is an apocalyptic number.

It is an amenable number.

820391039112221 is a deficient number, since it is larger than the sum of its proper divisors (4970034629155).

820391039112221 is a wasteful number, since it uses less digits than its factorization.

820391039112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905868.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 820391039112221 in words is "eight hundred twenty trillion, three hundred ninety-one billion, thirty-nine million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 227 827 2297 187729 521419 1899619 1902517 431213513 431871359 1573381559 4370081549 357157613893 992008511623 3614057441023 820391039112221