Search a number
-
+
2001111010 = 25472157577
BaseRepresentation
bin111011101000110…
…1000011111100010
312011110102222020121
41313101220133202
513044241023020
6530322430454
7100406106613
oct16721503742
95143388217
102001111010
11937636358
1247a20242a
1325b775c72
1414daa7c0a
15baa31baa
hex774687e2

2001111010 has 48 divisors (see below), whose sum is σ = 3710128824. Its totient is φ = 777074688.

The previous prime is 2001110999. The next prime is 2001111017. The reversal of 2001111010 is 101111002.

It can be written as a sum of positive squares in 4 ways, for example, as 1906457569 + 94653441 = 43663^2 + 9729^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001110984 and 2001111002.

It is not an unprimeable number, because it can be changed into a prime (2001111017) 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 23 ways as a sum of consecutive naturals, for example, 3467842 + ... + 3468418.

Almost surely, 22001111010 is an apocalyptic number.

2001111010 is a deficient number, since it is larger than the sum of its proper divisors (1709017814).

2001111010 is a wasteful number, since it uses less digits than its factorization.

2001111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2001111010 is about 44733.7792948461. The cubic root of 2001111010 is about 1260.1543041898.

Adding to 2001111010 its reverse (101111002), we get a palindrome (2102222012).

The spelling of 2001111010 in words is "two billion, one million, one hundred eleven thousand, ten".

Divisors: 1 2 5 10 47 94 157 235 314 470 577 785 1154 1570 2209 2885 4418 5770 7379 11045 14758 22090 27119 36895 54238 73790 90589 135595 181178 271190 346813 452945 693626 905890 1274593 1734065 2549186 3468130 4257683 6372965 8515366 12745930 21288415 42576830 200111101 400222202 1000555505 2001111010