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1011000000 = 26356337
BaseRepresentation
bin111100010000101…
…010001011000000
32121110101010021110
4330100222023000
54032304000000
6244153123320
734024233603
oct7420521300
92543333243
101011000000
1147975729a
122426b9540
131315bbc6a
14983b233a
155db55850
hex3c42a2c0

1011000000 has 196 divisors, whose sum is σ = 3353550824. Its totient is φ = 268800000.

The previous prime is 1010999971. The next prime is 1011000007. The reversal of 1011000000 is 1101.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1011000007) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2999832 + ... + 3000168.

Almost surely, 21011000000 is an apocalyptic number.

1011000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676775412).

1011000000 is an abundant number, since it is smaller than the sum of its proper divisors (2342550824).

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

1011000000 is an frugal number, since it uses more digits than its factorization.

1011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1011000000 is about 31796.2261911693. The cubic root of 1011000000 is about 1003.6533037850.

Adding to 1011000000 its reverse (1101), we get a palindrome (1011001101).

The spelling of 1011000000 in words is "one billion, eleven million", and thus it is an aban number and an uban number.