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1013034230442 = 2321341105590393
BaseRepresentation
bin11101011110111011000…
…10111010001010101010
310120211211002121221021200
432233131202322022222
5113044143230333232
62053214223145030
7133121634611613
oct16573542721252
93524732557250
101013034230442
11360697460173
121443bb145176
13746b4793c30
1437061562c0a
151b540bca77c
hexebdd8ba2aa

1013034230442 has 48 divisors (see below), whose sum is σ = 2421398915208. Its totient is φ = 304100328960.

The previous prime is 1013034230441. The next prime is 1013034230449. The reversal of 1013034230442 is 2440324303101.

1013034230442 is a `hidden beast` number, since 1 + 0 + 13 + 0 + 342 + 304 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 519796298961 + 493237931481 = 720969^2 + 702309^2 .

It is not an unprimeable number, because it can be changed into a prime (1013034230441) 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 23 ways as a sum of consecutive naturals, for example, 52785603 + ... + 52804790.

Almost surely, 21013034230442 is an apocalyptic number.

1013034230442 is an abundant number, since it is smaller than the sum of its proper divisors (1408364684766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013034230442 is a wasteful number, since it uses less digits than its factorization.

1013034230442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105590455 (or 105590452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1013034230442 its reverse (2440324303101), we get a palindrome (3453358533543).

The spelling of 1013034230442 in words is "one trillion, thirteen billion, thirty-four million, two hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 105590393 211180786 316771179 633542358 950313537 1372675109 1900627074 2745350218 4118025327 4329206113 8236050654 8658412226 12354075981 12987618339 24708151962 25975236678 38962855017 56279679469 77925710034 112559358938 168839038407 337678076814 506517115221 1013034230442