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1011100000984 = 232331177261571
BaseRepresentation
bin11101011011010100100…
…00011010001011011000
310120122211022000220021121
432231222100122023120
5113031213100012414
62052254250015024
7133023000126643
oct16555220321330
93518738026247
101011100000984
1135a894655a27
12143b5b417474
1374466b37268
1436d1a708a5a
151b47aeaa724
hexeb6a41a2d8

1011100000984 has 32 divisors (see below), whose sum is σ = 2042053309440. Its totient is φ = 467970544800.

The previous prime is 1011100000979. The next prime is 1011100000987. The reversal of 1011100000984 is 4890000011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100000987) 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 7 ways as a sum of consecutive naturals, for example, 88625082 + ... + 88636489.

It is an arithmetic number, because the mean of its divisors is an integer number (63814165920).

Almost surely, 21011100000984 is an apocalyptic number.

It is an amenable number.

1011100000984 is an abundant number, since it is smaller than the sum of its proper divisors (1030953308456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011100000984 is a wasteful number, since it uses less digits than its factorization.

1011100000984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177261631 (or 177261627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 1011100000984 in words is "one trillion, eleven billion, one hundred million, nine hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 713 1426 2852 5704 177261571 354523142 709046284 1418092568 4077016133 5495108701 8154032266 10990217402 16308064532 21980434804 32616129064 43960869608 126387500123 252775000246 505550000492 1011100000984