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1000212120011 = 134321122737357
BaseRepresentation
bin11101000111000010100…
…10011100000111001011
310112121201111120020102202
432203201102130013023
5112341413300320021
62043254024550415
7132156121512506
oct16434122340713
93477644506382
101000212120011
11356207736895
12141a2102240b
1373420207640
14365a66a213d
151b0401b6a0b
hexe8e149c1cb

1000212120011 has 32 divisors (see below), whose sum is σ = 1112333553408. Its totient is φ = 893549543040.

The previous prime is 1000212119993. The next prime is 1000212120049. The reversal of 1000212120011 is 1100212120001.

It is a cyclic number.

It is not a de Polignac number, because 1000212120011 - 238 = 725334213067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000212119974 and 1000212120001.

It is not an unprimeable number, because it can be changed into a prime (1000212120311) 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, 26755745 + ... + 26793101.

It is an arithmetic number, because the mean of its divisors is an integer number (34760423544).

Almost surely, 21000212120011 is an apocalyptic number.

1000212120011 is a deficient number, since it is larger than the sum of its proper divisors (112121433397).

1000212120011 is a wasteful number, since it uses less digits than its factorization.

1000212120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37851.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000212120011 its reverse (1100212120001), we get a palindrome (2100424240012).

The spelling of 1000212120011 in words is "one trillion, two hundred twelve million, one hundred twenty thousand, eleven".

Divisors: 1 13 43 211 227 559 2743 2951 9073 9761 37357 47897 117949 126893 485641 622661 1606351 2059571 7882327 8480039 20882563 26774423 102470251 110240507 338940061 364641677 1789288229 4406220793 4740341801 23260746977 76939393847 1000212120011