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1121100011211 = 317371015882353
BaseRepresentation
bin10000010100000110110…
…001001001011011001011
310222011202101110101200110
4100110012301021123023
5121332003100324321
62215005400005403
7143665621602135
oct20240661113313
93864671411613
101121100011211
113a2501802794
1216133a160863
13819473389cb
143c3938d2055
151e2680a6176
hex10506c496cb

1121100011211 has 32 divisors (see below), whose sum is σ = 1641600295488. Its totient is φ = 677646950400.

The previous prime is 1121100011209. The next prime is 1121100011237.

1121100011211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1121100011211 - 21 = 1121100011209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121100011011) 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 31 ways as a sum of consecutive naturals, for example, 2750590 + ... + 3131763.

It is an arithmetic number, because the mean of its divisors is an integer number (51300009234).

Almost surely, 21121100011211 is an apocalyptic number.

1121100011211 is a deficient number, since it is larger than the sum of its proper divisors (520500284277).

1121100011211 is a wasteful number, since it uses less digits than its factorization.

1121100011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882511.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 11211000 and 11211, that added together give a palindrome (11222211).

The spelling of 1121100011211 in words is "one trillion, one hundred twenty-one billion, one hundred million, eleven thousand, two hundred eleven".

Divisors: 1 3 17 37 51 101 111 303 629 1717 1887 3737 5151 11211 63529 190587 5882353 17647059 100000001 217647061 300000003 594117653 652941183 1782352959 3700000037 10100000101 11100000111 21982353161 30300000303 65947059483 373700003737 1121100011211