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1020435400323 = 32137827603731
BaseRepresentation
bin11101101100101101011…
…00001000011010000011
310121112220220020022200200
432312112230020122003
5113204322430302243
62100440452020243
7133503224534433
oct16662654103203
93545826208620
101020435400323
113638451a9699
12145925901683
13752c3c2aab1
14375644aa2c3
151b825839ad3
hexed96b08683

1020435400323 has 12 divisors (see below), whose sum is σ = 1484721095208. Its totient is φ = 675324643680.

The previous prime is 1020435400301. The next prime is 1020435400331. The reversal of 1020435400323 is 3230045340201.

1020435400323 is a `hidden beast` number, since 1 + 0 + 204 + 35 + 400 + 3 + 23 = 666.

It is not a de Polignac number, because 1020435400323 - 220 = 1020434351747 is a prime.

It is a super-2 number, since 2×10204354003232 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020435400223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413800633 + ... + 413803098.

It is an arithmetic number, because the mean of its divisors is an integer number (123726757934).

Almost surely, 21020435400323 is an apocalyptic number.

1020435400323 is a deficient number, since it is larger than the sum of its proper divisors (464285694885).

1020435400323 is a wasteful number, since it uses less digits than its factorization.

1020435400323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827603874 (or 827603871 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 1020435400323 in words is "one trillion, twenty billion, four hundred thirty-five million, four hundred thousand, three hundred twenty-three".

Divisors: 1 3 9 137 411 1233 827603731 2482811193 7448433579 113381711147 340145133441 1020435400323