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1011000096 = 25331170139
BaseRepresentation
bin111100010000101…
…010001100100000
32121110101010102000
4330100222030200
54032304000341
6244153124000
734024234101
oct7420521440
92543333360
101011000096
11479757377
122426b9600
131315bc012
14983b23a8
155db558b6
hex3c42a320

1011000096 has 48 divisors (see below), whose sum is σ = 2948752800. Its totient is φ = 336999744.

The previous prime is 1011000077. The next prime is 1011000101. The reversal of 1011000096 is 6900001101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10110000962 = 2044242388224018432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584206 + ... + 585933.

It is an arithmetic number, because the mean of its divisors is an integer number (61432350).

Almost surely, 21011000096 is an apocalyptic number.

1011000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011000096 is an abundant number, since it is smaller than the sum of its proper divisors (1937752704).

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

1011000096 is a wasteful number, since it uses less digits than its factorization.

1011000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170158 (or 1170144 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1011000096 is about 31796.2277007824. The cubic root of 1011000096 is about 1003.6533355525.

Adding to 1011000096 its reverse (6900001101), we get a palindrome (7911001197).

The spelling of 1011000096 in words is "one billion, eleven million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1170139 2340278 3510417 4680556 7020834 9361112 10531251 14041668 18722224 21062502 28083336 31593753 37444448 42125004 56166672 63187506 84250008 112333344 126375012 168500016 252750024 337000032 505500048 1011000096