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2001122007 = 353711031721
BaseRepresentation
bin111011101000110…
…1011001011010111
312011110110112022220
41313101223023113
513044241401012
6530322553423
7100406153643
oct16721531327
95143415286
102001122007
11937643645
1247a208873
1325b77ac81
1414daabc23
15baa3508c
hex7746b2d7

2001122007 has 32 divisors (see below), whose sum is σ = 2785176576. Its totient is φ = 1277203200.

The previous prime is 2001121999. The next prime is 2001122069. The reversal of 2001122007 is 7002211002.

It is not a de Polignac number, because 2001122007 - 23 = 2001121999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001122077) 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, 1161907 + ... + 1163627.

It is an arithmetic number, because the mean of its divisors is an integer number (87036768).

Almost surely, 22001122007 is an apocalyptic number.

2001122007 is a deficient number, since it is larger than the sum of its proper divisors (784054569).

2001122007 is a wasteful number, since it uses less digits than its factorization.

2001122007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2001122007 is about 44733.9022107395. The cubic root of 2001122007 is about 1260.1566125561.

Adding to 2001122007 its reverse (7002211002), we get a palindrome (9003333009).

The spelling of 2001122007 in words is "two billion, one million, one hundred twenty-two thousand, seven".

Divisors: 1 3 53 71 103 159 213 309 1721 3763 5163 5459 7313 11289 16377 21939 91213 122191 177263 273639 366573 387589 531789 1162767 6476123 9394939 12585673 19428369 28184817 37757019 667040669 2001122007