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1001130000 = 243541317151
BaseRepresentation
bin111011101011000…
…000100000010000
32120202210200011220
4323223000200100
54022242130000
6243201405040
733544315233
oct7353004020
92522720156
101001130000
11474125872
1223b339780
1312c544620
1496d6341a
155cd561a0
hex3bac0810

1001130000 has 400 divisors, whose sum is σ = 3709512576. Its totient is φ = 230400000.

The previous prime is 1001129971. The next prime is 1001130019. The reversal of 1001130000 is 311001.

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

It is a super-2 number, since 2×10011300002 = 2004522553800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6629925 + ... + 6630075.

Almost surely, 21001130000 is an apocalyptic number.

1001130000 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 1001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854756288).

1001130000 is an abundant number, since it is smaller than the sum of its proper divisors (2708382576).

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

1001130000 is a wasteful number, since it uses less digits than its factorization.

1001130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1001130000 is about 31640.6384259231. The cubic root of 1001130000 is about 1000.3765248779.

Adding to 1001130000 its reverse (311001), we get a palindrome (1001441001).

The spelling of 1001130000 in words is "one billion, one million, one hundred thirty thousand".