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1042113344013 = 33729190131973
BaseRepresentation
bin11110010101000101100…
…10111011001000001101
310200121212200002221222000
433022202302323020031
5114033222004002023
62114423521342513
7135201353161440
oct17124262731015
93617780087860
101042113344013
11371a598a6635
12149b75797a39
137736a12b901
143861d575657
151c193a4e243
hexf2a2cbb20d

1042113344013 has 32 divisors (see below), whose sum is σ = 1825266950400. Its totient is φ = 574959083328.

The previous prime is 1042113343967. The next prime is 1042113344047. The reversal of 1042113344013 is 3104433112401.

1042113344013 is a `hidden beast` number, since 1 + 0 + 4 + 211 + 3 + 3 + 440 + 1 + 3 = 666.

1042113344013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1042113344013 - 225 = 1042079789581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042113343013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95060506 + ... + 95071467.

It is an arithmetic number, because the mean of its divisors is an integer number (57039592200).

Almost surely, 21042113344013 is an apocalyptic number.

It is an amenable number.

1042113344013 is a deficient number, since it is larger than the sum of its proper divisors (783153606387).

1042113344013 is a wasteful number, since it uses less digits than its factorization.

1042113344013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190132018 (or 190132012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1042113344013 its reverse (3104433112401), we get a palindrome (4146546456414).

The spelling of 1042113344013 in words is "one trillion, forty-two billion, one hundred thirteen million, three hundred forty-four thousand, thirteen".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 190131973 570395919 1330923811 1711187757 3992771433 5133563271 5513827217 11978314299 16541481651 35934942897 38596790519 49624444953 115790371557 148873334859 347371114671 1042113344013