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2000012007 = 371076011481
BaseRepresentation
bin111011100110101…
…1100001011100111
312011101101010200210
41313031130023213
513044000341012
6530243110503
7100363551540
oct16715341347
95141333623
102000012007
11936a55694
12479972433
1325b47c976
1414d89d4c7
15ba8b623c
hex7735c2e7

2000012007 has 32 divisors (see below), whose sum is σ = 3083318784. Its totient is φ = 1129536000.

The previous prime is 2000011987. The next prime is 2000012017. The reversal of 2000012007 is 7002100002.

It is not a de Polignac number, because 2000012007 - 210 = 2000010983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000011983 and 2000012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349707 + ... + 1351187.

It is an arithmetic number, because the mean of its divisors is an integer number (96353712).

Almost surely, 22000012007 is an apocalyptic number.

2000012007 is a deficient number, since it is larger than the sum of its proper divisors (1083306777).

2000012007 is a wasteful number, since it uses less digits than its factorization.

2000012007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2000012007 is about 44721.4937921353. The cubic root of 2000012007 is about 1259.9235712018.

Adding to 2000012007 its reverse (7002100002), we get a palindrome (9002112009).

The spelling of 2000012007 in words is "two billion, twelve thousand, seven".

Divisors: 1 3 7 21 107 321 601 749 1481 1803 2247 4207 4443 10367 12621 31101 64307 158467 192921 450149 475401 890081 1109269 1350447 2670243 3327807 6230567 18691701 95238667 285716001 666670669 2000012007