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1100101113 = 32122233457
BaseRepresentation
bin100000110010010…
…0011010111111001
32211200000221000200
41001210203113321
54223111213423
6301054552413
736155463606
oct10144432771
92750027020
101100101113
11514a84281
12268508709
13146bb7a07
14a61676ad
15668a5d43
hex419235f9

1100101113 has 6 divisors (see below), whose sum is σ = 1589034954. Its totient is φ = 733400736.

The previous prime is 1100101111. The next prime is 1100101117. The reversal of 1100101113 is 3111010011.

It can be written as a sum of positive squares in only one way, i.e., 558282384 + 541818729 = 23628^2 + 23277^2 .

It is not a de Polignac number, because 1100101113 - 21 = 1100101111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122233457 = 1100101113 / (1 + 1 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1100101095 and 1100101104.

It is not an unprimeable number, because it can be changed into a prime (1100101111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61116720 + ... + 61116737.

It is an arithmetic number, because the mean of its divisors is an integer number (264839159).

Almost surely, 21100101113 is an apocalyptic number.

It is an amenable number.

1100101113 is a deficient number, since it is larger than the sum of its proper divisors (488933841).

1100101113 is a wasteful number, since it uses less digits than its factorization.

1100101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122233463 (or 122233460 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1100101113 is about 33167.7722043552. The cubic root of 1100101113 is about 1032.3117438628.

Adding to 1100101113 its reverse (3111010011), we get a palindrome (4211111124).

The spelling of 1100101113 in words is "one billion, one hundred million, one hundred one thousand, one hundred thirteen".

Divisors: 1 3 9 122233457 366700371 1100101113