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1011100011009 = 311298911871133
BaseRepresentation
bin11101011011010100100…
…00011100101000000001
310120122211022001102000220
432231222100130220001
5113031213100323014
62052254250133253
7133023000201114
oct16555220345001
93518738042026
101011100011009
1135a894662510
12143b5b421229
1374466b3b9aa
1436d1a70c57b
151b47aead6a9
hexeb6a41ca01

1011100011009 has 32 divisors (see below), whose sum is σ = 1538498966400. Its totient is φ = 585009384960.

The previous prime is 1011100011001. The next prime is 1011100011011. The reversal of 1011100011009 is 9001100011101.

It is not a de Polignac number, because 1011100011009 - 23 = 1011100011001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011100011001) 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, 5850394 + ... + 6020739.

It is an arithmetic number, because the mean of its divisors is an integer number (48078092700).

Almost surely, 21011100011009 is an apocalyptic number.

It is an amenable number.

1011100011009 is a deficient number, since it is larger than the sum of its proper divisors (527398955391).

1011100011009 is a wasteful number, since it uses less digits than its factorization.

1011100011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871265.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 1011100011009 in words is "one trillion, eleven billion, one hundred million, eleven thousand, nine".

Divisors: 1 3 11 29 33 87 89 267 319 957 979 2581 2937 7743 28391 85173 11871133 35613399 130582463 344262857 391747389 1032788571 1056530837 3169592511 3786891427 11360674281 11621839207 30639394273 34865517621 91918182819 337033337003 1011100011009