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2002011121 = 116719713789
BaseRepresentation
bin111011101010100…
…0100001111110001
312011112010200222001
41313111010033301
513100003323441
6530354014001
7100416546055
oct16725041761
95145120861
102002011121
119380a0650
1247a577301
1325b9cc886
1414dc5dc65
15bab5d731
hex775443f1

2002011121 has 16 divisors (see below), whose sum is σ = 2228022720. Its totient is φ = 1783615680.

The previous prime is 2002011101. The next prime is 2002011131. The reversal of 2002011121 is 1211102002.

It is not a de Polignac number, because 2002011121 - 27 = 2002010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002011098 and 2002011107.

It is not an unprimeable number, because it can be changed into a prime (2002011101) 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 15 ways as a sum of consecutive naturals, for example, 138295 + ... + 152083.

It is an arithmetic number, because the mean of its divisors is an integer number (139251420).

Almost surely, 22002011121 is an apocalyptic number.

It is an amenable number.

2002011121 is a deficient number, since it is larger than the sum of its proper divisors (226011599).

2002011121 is a wasteful number, since it uses less digits than its factorization.

2002011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2002011121 is about 44743.8389166598. The cubic root of 2002011121 is about 1260.3432173685.

Adding to 2002011121 its reverse (1211102002), we get a palindrome (3213113123).

The spelling of 2002011121 in words is "two billion, two million, eleven thousand, one hundred twenty-one".

Divisors: 1 11 67 197 737 2167 13199 13789 145189 151679 923863 2716433 10162493 29880763 182001011 2002011121