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2001120121 = 711131999121
BaseRepresentation
bin111011101000110…
…1010101101111001
312011110110102202001
41313101222231321
513044241320441
6530322541001
7100406145310
oct16721525571
95143412661
102001120121
11937642190
1247a207761
1325b77a160
1414daab277
15baa34731
hex7746ab79

2001120121 has 16 divisors (see below), whose sum is σ = 2686819968. Its totient is φ = 1439366400.

The previous prime is 2001120103. The next prime is 2001120131. The reversal of 2001120121 is 1210211002.

It is a cyclic number.

It is not a de Polignac number, because 2001120121 - 29 = 2001119609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001120098 and 2001120107.

It is not an unprimeable number, because it can be changed into a prime (2001120131) 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 15 ways as a sum of consecutive naturals, for example, 998560 + ... + 1000561.

It is an arithmetic number, because the mean of its divisors is an integer number (167926248).

Almost surely, 22001120121 is an apocalyptic number.

It is an amenable number.

2001120121 is a deficient number, since it is larger than the sum of its proper divisors (685699847).

2001120121 is a wasteful number, since it uses less digits than its factorization.

2001120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999152.

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

The square root of 2001120121 is about 44733.8811305257. The cubic root of 2001120121 is about 1260.1562166689.

Adding to 2001120121 its reverse (1210211002), we get a palindrome (3211331123).

The spelling of 2001120121 in words is "two billion, one million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 1999121 13993847 21990331 25988573 153932317 181920011 285874303 2001120121