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1003112013 = 31734615683
BaseRepresentation
bin111011110010100…
…100011001001101
32120220112100222210
4323302210121031
54023244041023
6243312101033
733600211551
oct7362443115
92526470883
101003112013
114752599a2
1223bb34779
1312ca89807
149731b861
155d0e8593
hex3bca464d

1003112013 has 16 divisors (see below), whose sum is σ = 1416816576. Its totient is φ = 629111040.

The previous prime is 1003112009. The next prime is 1003112063. The reversal of 1003112013 is 3102113001.

It is not a de Polignac number, because 1003112013 - 22 = 1003112009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1003112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173670 + ... + 179352.

It is an arithmetic number, because the mean of its divisors is an integer number (88551036).

Almost surely, 21003112013 is an apocalyptic number.

It is an amenable number.

1003112013 is a deficient number, since it is larger than the sum of its proper divisors (413704563).

1003112013 is a wasteful number, since it uses less digits than its factorization.

1003112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1003112013 is about 31671.9436252340. The cubic root of 1003112013 is about 1001.0362634538.

Adding to 1003112013 its reverse (3102113001), we get a palindrome (4105225014).

It can be divided in two parts, 100 and 3112013, that added together give a palindrome (3112113).

The spelling of 1003112013 in words is "one billion, three million, one hundred twelve thousand, thirteen".

Divisors: 1 3 17 51 3461 5683 10383 17049 58837 96611 176511 289833 19668863 59006589 334370671 1003112013