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2002007007 = 3271113613643
BaseRepresentation
bin111011101010100…
…0011001111011111
312011112010111022200
41313111003033133
513100003211012
6530353542543
7100416531060
oct16725031737
95145114280
102002007007
11938098550
1247a574a53
1325b9caa40
1414dc5c567
15bab5c3dc
hex775433df

2002007007 has 96 divisors (see below), whose sum is σ = 3947414016. Its totient is φ = 944006400.

The previous prime is 2002006987. The next prime is 2002007017. The reversal of 2002007007 is 7007002002.

It is not a de Polignac number, because 2002007007 - 27 = 2002006879 is a prime.

2002007007 is a modest number, since divided by 7007 gives 2002 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002007017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547728 + ... + 551370.

It is an arithmetic number, because the mean of its divisors is an integer number (41118896).

Almost surely, 22002007007 is an apocalyptic number.

2002007007 is a deficient number, since it is larger than the sum of its proper divisors (1945407009).

2002007007 is a wasteful number, since it uses less digits than its factorization.

2002007007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2002007007 is about 44743.7929438263. The cubic root of 2002007007 is about 1260.3423540606.

Adding to 2002007007 its reverse (7007002002), we get a palindrome (9009009009).

The spelling of 2002007007 in words is "two billion, two million, seven thousand, seven".

Divisors: 1 3 7 9 11 13 21 33 39 61 63 77 91 99 117 143 183 231 273 427 429 549 671 693 793 819 1001 1281 1287 2013 2379 3003 3643 3843 4697 5551 6039 7137 8723 9009 10929 14091 16653 25501 26169 32787 40073 42273 47359 49959 61061 76503 78507 120219 142077 183183 222223 229509 280511 331513 360657 426231 520949 549549 666669 841533 994539 1555561 1562847 2000007 2444453 2524599 2888899 2983617 3646643 4666683 4688541 7333359 8666697 10939929 14000049 17111171 20222293 22000077 26000091 31777889 32819787 51333513 60666879 95333667 154000539 182000637 222445223 286001001 667335669 2002007007