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BaseRepresentation
bin111011100111000…
…111011110110000
32120200212212000010
4323213013132300
54022012010000
6243123454520
733532536411
oct7347073660
92520785003
101000110000
1147359949a
1223ab27440
1312c278286
1496b79808
155cc03d50
hex3b9c77b0

1000110000 has 400 divisors, whose sum is σ = 3577029984. Its totient is φ = 239616000.

The previous prime is 1000109993. The next prime is 1000110019. The reversal of 1000110000 is 110001.

Adding to 1000110000 its reverse (110001), we get a palindrome (1000220001).

Subtracting from 1000110000 its reverse (110001), we obtain a palindrome (999999999).

It is a tau number, because it is divible by the number of its divisors (400).

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869974 + ... + 18870026.

Almost surely, 21000110000 is an apocalyptic number.

1000110000 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 1000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788514992).

1000110000 is an abundant number, since it is smaller than the sum of its proper divisors (2576919984).

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

1000110000 is a wasteful number, since it uses less digits than its factorization.

1000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

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

The square root of 1000110000 is about 31624.5158065701. The cubic root of 1000110000 is about 1000.0366653223.

The spelling of 1000110000 in words is "one billion, one hundred ten thousand".