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2011000121 = 13213786857
BaseRepresentation
bin111011111011101…
…0110110100111001
312012011001101112222
41313313112310321
513104304000441
6531314413425
7100556135054
oct16767266471
95164041488
102011000121
11942180179
12481591275
13260829200
1415111da9b
15bb836d4b
hex77dd6d39

2011000121 has 12 divisors (see below), whose sum is σ = 2193511932. Its totient is φ = 1842736896.

The previous prime is 2011000097. The next prime is 2011000127. The reversal of 2011000121 is 1210001102.

It can be written as a sum of positive squares in 6 ways, for example, as 326308096 + 1684692025 = 18064^2 + 41045^2 .

It is not a de Polignac number, because 2011000121 - 218 = 2010737977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011000099 and 2011000108.

It is not an unprimeable number, because it can be changed into a prime (2011000127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20276 + ... + 66581.

It is an arithmetic number, because the mean of its divisors is an integer number (182792661).

Almost surely, 22011000121 is an apocalyptic number.

It is an amenable number.

2011000121 is a deficient number, since it is larger than the sum of its proper divisors (182511811).

2011000121 is a wasteful number, since it uses less digits than its factorization.

2011000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87020 (or 87007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2011000121 is about 44844.1759986735. The cubic root of 2011000121 is about 1262.2267086263.

Adding to 2011000121 its reverse (1210001102), we get a palindrome (3221001223).

The spelling of 2011000121 in words is "two billion, eleven million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 137 169 1781 23153 86857 1129141 11899409 14678833 154692317 2011000121