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1023302030013 = 32294349901517
BaseRepresentation
bin11101110010000011000…
…11011101001010111101
310121211022200022012100200
432321001203131022331
5113231210304430023
62102033133514113
7133634243511414
oct16710143351275
93554280265320
101023302030013
11364a86355a3a
121463a5942939
137565cab6793
14377570b647b
151b942336743
hexee418dd2bd

1023302030013 has 24 divisors (see below), whose sum is σ = 1529425287000. Its totient is φ = 658524983424.

The previous prime is 1023302030011. The next prime is 1023302030027. The reversal of 1023302030013 is 3100302033201.

1023302030013 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 20 + 300 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6306424569 + 1016995605444 = 79413^2 + 1008462^2 .

It is not a de Polignac number, because 1023302030013 - 21 = 1023302030011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023302030011) 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, 684331 + ... + 1585847.

It is an arithmetic number, because the mean of its divisors is an integer number (63726053625).

Almost surely, 21023302030013 is an apocalyptic number.

It is an amenable number.

1023302030013 is a deficient number, since it is larger than the sum of its proper divisors (506123256987).

1023302030013 is a wasteful number, since it uses less digits than its factorization.

1023302030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905901 (or 905898 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1023302030013 its reverse (3100302033201), we get a palindrome (4123604063214).

The spelling of 1023302030013 in words is "one trillion, twenty-three billion, three hundred two million, thirty thousand, thirteen".

Divisors: 1 3 9 29 87 261 4349 13047 39141 126121 378363 901517 1135089 2704551 8113653 26143993 78431979 235295937 3920697433 11762092299 35286276897 113700225557 341100676671 1023302030013