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1001100109 = 11340122093
BaseRepresentation
bin111011101010111…
…001001101001101
32120202202011011211
4323222321031031
54022240200414
6243201014421
733544132132
oct7352711515
92522664154
101001100109
11474105369
1223b324411
1312c533b39
1496d56589
155cd4c3c4
hex3bab934d

1001100109 has 8 divisors (see below), whose sum is σ = 1012523832. Its totient is φ = 989721600.

The previous prime is 1001100091. The next prime is 1001100127. The reversal of 1001100109 is 9010011001.

It is an interprime number because it is at equal distance from previous prime (1001100091) and next prime (1001100127).

It can be written as a sum of positive squares in 4 ways, for example, as 369985225 + 631114884 = 19235^2 + 25122^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001100109 - 229 = 464229197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34267 + ... + 56359.

It is an arithmetic number, because the mean of its divisors is an integer number (126565479).

Almost surely, 21001100109 is an apocalyptic number.

It is an amenable number.

1001100109 is a deficient number, since it is larger than the sum of its proper divisors (11423723).

1001100109 is a wasteful number, since it uses less digits than its factorization.

1001100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22607.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 1001100109 is about 31640.1660709927. The cubic root of 1001100109 is about 1000.3665686110.

The spelling of 1001100109 in words is "one billion, one million, one hundred thousand, one hundred nine".

Divisors: 1 113 401 22093 45313 2496509 8859293 1001100109