Search a number
-
+
2000003131 = 717671371831
BaseRepresentation
bin111011100110101…
…1010000000111011
312011101100200112001
41313031122000323
513044000100011
6530243001431
7100363513630
oct16715320073
95141320461
102000003131
11936a49a55
12479969277
1325b478909
1414d89a187
15ba8b37c1
hex7735a03b

2000003131 has 32 divisors (see below), whose sum is σ = 2475574272. Its totient is φ = 1576903680.

The previous prime is 2000003123. The next prime is 2000003141. The reversal of 2000003131 is 1313000002.

It is not a de Polignac number, because 2000003131 - 23 = 2000003123 is a prime.

It is a super-2 number, since 2×20000031312 = 8000025048019606322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000003141) 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 31 ways as a sum of consecutive naturals, for example, 1091386 + ... + 1093216.

It is an arithmetic number, because the mean of its divisors is an integer number (77361696).

Almost surely, 22000003131 is an apocalyptic number.

2000003131 is a deficient number, since it is larger than the sum of its proper divisors (475571141).

2000003131 is a wasteful number, since it uses less digits than its factorization.

2000003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2000003131 is about 44721.3945556263. The cubic root of 2000003131 is about 1259.9217073633.

Adding to 2000003131 its reverse (1313000002), we get a palindrome (3313003133).

The spelling of 2000003131 in words is "two billion, three thousand, one hundred thirty-one".

Divisors: 1 7 17 67 119 137 469 959 1139 1831 2329 7973 9179 12817 16303 31127 64253 122677 156043 217889 250847 858739 1092301 1755929 2085509 4264399 14598563 16806749 29850793 117647243 285714733 2000003131