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1100022313 = 13496917029
BaseRepresentation
bin100000110010001…
…0000001000101001
32211122212220221011
41001210100020221
54223101203223
6301053143521
736155015065
oct10144201051
92748786834
101100022313
11514a30055
1226848aba1
13146b8aba0
14a6146aa5
156688c80d
hex41910229

1100022313 has 8 divisors (see below), whose sum is σ = 1184947400. Its totient is φ = 1015141248.

The previous prime is 1100022299. The next prime is 1100022317. The reversal of 1100022313 is 3132200011.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 1057355289 = 6532^2 + 32517^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100022313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1100022293 and 1100022302.

It is not an unprimeable number, because it can be changed into a prime (1100022317) 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, 56083 + ... + 73111.

It is an arithmetic number, because the mean of its divisors is an integer number (148118425).

Almost surely, 21100022313 is an apocalyptic number.

1100022313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1100022313 is a deficient number, since it is larger than the sum of its proper divisors (84925087).

1100022313 is a wasteful number, since it uses less digits than its factorization.

1100022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22011.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1100022313 is about 33166.5842829798. The cubic root of 1100022313 is about 1032.2870951868.

Adding to 1100022313 its reverse (3132200011), we get a palindrome (4232222324).

The spelling of 1100022313 in words is "one billion, one hundred million, twenty-two thousand, three hundred thirteen".

Divisors: 1 13 4969 17029 64597 221377 84617101 1100022313