Search a number
-
+
2103312013011 = 3211271130160259
BaseRepresentation
bin11110100110110111001…
…010100101011011010011
321110002000102121212221100
4132212313022211123103
5233430040333404021
64250125335555443
7304650014061126
oct36466712453323
97402012555840
102103312013011
11741011886320
1229b776b2bb83
131234592a1011
1473b2d7363bd
1539aa2d8e626
hex1e9b72a56d3

2103312013011 has 48 divisors (see below), whose sum is σ = 3329151920640. Its totient is φ = 1269033480000.

The previous prime is 2103312013009. The next prime is 2103312013057. The reversal of 2103312013011 is 1103102133012.

2103312013011 is a `hidden beast` number, since 2 + 10 + 331 + 20 + 1 + 301 + 1 = 666.

It is not a de Polignac number, because 2103312013011 - 21 = 2103312013009 is a prime.

It is a super-2 number, since 2×21033120130112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2103312013001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34874400 + ... + 34934658.

It is an arithmetic number, because the mean of its divisors is an integer number (69357331680).

Almost surely, 22103312013011 is an apocalyptic number.

2103312013011 is a deficient number, since it is larger than the sum of its proper divisors (1225839907629).

2103312013011 is a wasteful number, since it uses less digits than its factorization.

2103312013011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61848 (or 61845 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2103312013011 its reverse (1103102133012), we get a palindrome (3206414146023).

The spelling of 2103312013011 in words is "two trillion, one hundred three billion, three hundred twelve million, thirteen thousand, eleven".

Divisors: 1 3 9 11 33 99 271 813 1301 2439 2981 3903 8943 11709 14311 26829 42933 60259 128799 180777 352571 542331 662849 1057713 1988547 3173139 3878281 5965641 11634843 16330189 34904529 48990567 78396959 146971701 179632079 235190877 538896237 705572631 862366549 1616688711 2587099647 7761298941 21245575889 63736727667 191210183001 233701334779 701104004337 2103312013011