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1023455035341 = 32177618790077
BaseRepresentation
bin11101110010010101010…
…11000111111111001101
310121211201100012200012200
432321022223013333031
5113232013442112331
62102100241152113
7133641112156164
oct16711253077715
93554640180180
101023455035341
11365054760122
1214642902b639
13756856c858b
143776d5443db
151b9509ab5e6
hexee4aac7fcd

1023455035341 has 24 divisors (see below), whose sum is σ = 1567341228024. Its totient is φ = 641323944960.

The previous prime is 1023455035321. The next prime is 1023455035349. The reversal of 1023455035341 is 1435305543201.

1023455035341 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 550 + 35 + 3 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28029791241 + 995425244100 = 167421^2 + 997710^2 .

It is not a de Polignac number, because 1023455035341 - 210 = 1023455034317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023455035296 and 1023455035305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023455035349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4278606 + ... + 4511471.

It is an arithmetic number, because the mean of its divisors is an integer number (65305884501).

Almost surely, 21023455035341 is an apocalyptic number.

It is an amenable number.

1023455035341 is a deficient number, since it is larger than the sum of its proper divisors (543886192683).

1023455035341 is a wasteful number, since it uses less digits than its factorization.

1023455035341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790861 (or 8790858 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1023455035341 in words is "one trillion, twenty-three billion, four hundred fifty-five million, thirty-five thousand, three hundred forty-one".

Divisors: 1 3 9 17 51 153 761 2283 6849 12937 38811 116433 8790077 26370231 79110693 149431309 448293927 1344881781 6689248597 20067745791 60203237373 113717226149 341151678447 1023455035341