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1023305132045 = 5724176755641
BaseRepresentation
bin11101110010000011011…
…11010010100000001101
310121211022220010210112202
432321001233102200031
5113231212103211140
62102033324211245
7133634312051300
oct16710157224015
93554286123482
101023305132045
11364a880845a9
121463a6999b25
13756606316c1
1437757682b37
151b94274a915
hexee41bd280d

1023305132045 has 12 divisors (see below), whose sum is σ = 1428450429564. Its totient is φ = 701694947520.

The previous prime is 1023305132021. The next prime is 1023305132051. The reversal of 1023305132045 is 5402315033201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114306876649 + 908998255396 = 338093^2 + 953414^2 .

It is not a de Polignac number, because 1023305132045 - 222 = 1023300937741 is a prime.

It is a super-4 number, since 4×10233051320454 (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023305131999 and 1023305132017.

It is a congruent number.

It is an unprimeable number.

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, 2088377576 + ... + 2088378065.

It is an arithmetic number, because the mean of its divisors is an integer number (119037535797).

Almost surely, 21023305132045 is an apocalyptic number.

It is an amenable number.

1023305132045 is a deficient number, since it is larger than the sum of its proper divisors (405145297519).

1023305132045 is an equidigital number, since it uses as much as digits as its factorization.

1023305132045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176755660 (or 4176755653 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 1023305132045 in words is "one trillion, twenty-three billion, three hundred five million, one hundred thirty-two thousand, forty-five".

Divisors: 1 5 7 35 49 245 4176755641 20883778205 29237289487 146186447435 204661026409 1023305132045