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1042130013 = 34723331721
BaseRepresentation
bin111110000111011…
…010010001011101
32200121221200121220
4332013122101131
54113241130023
6251224243553
734552646631
oct7607322135
92617850556
101042130013
11495289781
122510105b9
13137b9b3a2
149c596dc1
15617543e3
hex3e1da45d

1042130013 has 16 divisors (see below), whose sum is σ = 1425206016. Its totient is φ = 677031680.

The previous prime is 1042130003. The next prime is 1042130041. The reversal of 1042130013 is 3100312401.

It is a cyclic number.

It is not a de Polignac number, because 1042130013 - 25 = 1042129981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1042129974 and 1042130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16993 + ... + 48713.

It is an arithmetic number, because the mean of its divisors is an integer number (89075376).

Almost surely, 21042130013 is an apocalyptic number.

It is an amenable number.

1042130013 is a deficient number, since it is larger than the sum of its proper divisors (383076003).

1042130013 is a wasteful number, since it uses less digits than its factorization.

1042130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32004.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1042130013 is about 32282.0385508722. The cubic root of 1042130013 is about 1013.8506125019.

Adding to 1042130013 its reverse (3100312401), we get a palindrome (4142442414).

The spelling of 1042130013 in words is "one billion, forty-two million, one hundred thirty thousand, thirteen".

Divisors: 1 3 47 141 233 699 10951 31721 32853 95163 1490887 4472661 7390993 22172979 347376671 1042130013