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1012042004013 = 321730735960017
BaseRepresentation
bin11101011101000100110…
…01110111011000101101
310120202020221120121111200
432232202121313120231
5113040130223112023
62052531540240113
7133055226045315
oct16564231673055
93522227517450
101012042004013
11360228366827
121441829a0039
13745870490c1
1436da987a445
151b4d3a32743
hexeba267762d

1012042004013 has 48 divisors (see below), whose sum is σ = 1557222226560. Its totient is φ = 631164745728.

The previous prime is 1012042004009. The next prime is 1012042004021. The reversal of 1012042004013 is 3104002402101.

It is not a de Polignac number, because 1012042004013 - 22 = 1012042004009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012042004023) 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 47 ways as a sum of consecutive naturals, for example, 16832581 + ... + 16892597.

It is an arithmetic number, because the mean of its divisors is an integer number (32442129720).

Almost surely, 21012042004013 is an apocalyptic number.

It is an amenable number.

1012042004013 is a deficient number, since it is larger than the sum of its proper divisors (545180222547).

1012042004013 is a wasteful number, since it uses less digits than its factorization.

1012042004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60706 (or 60703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1012042004013 its reverse (3104002402101), we get a palindrome (4116044406114).

The spelling of 1012042004013 in words is "one trillion, twelve billion, forty-two million, four thousand, thirteen".

Divisors: 1 3 9 17 51 153 307 359 921 1077 2763 3231 5219 6103 15657 18309 46971 54927 60017 110213 180051 330639 540153 991917 1020289 1873621 3060867 5620863 9182601 16862589 18425219 21546103 55275657 64638309 165826971 193914927 313228723 366283751 939686169 1098851253 2819058507 3296553759 6614653621 19843960863 59531882589 112449111557 337347334671 1012042004013