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1102101313 = 1765779857
BaseRepresentation
bin100000110110000…
…1011101101000001
32211210210112210011
41001230023231001
54224114220223
6301205504521
736211464235
oct10154135501
92753715704
101102101313
11516120035
12269112141
13147438271
14a65285c5
1566b4d80d
hex41b0bb41

1102101313 has 8 divisors (see below), whose sum is σ = 1167226632. Its totient is φ = 1037008896.

The previous prime is 1102101311. The next prime is 1102101337. The reversal of 1102101313 is 3131012011.

It can be written as a sum of positive squares in 4 ways, for example, as 586220944 + 515880369 = 24212^2 + 22713^2 .

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 1102101313 - 21 = 1102101311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102101293 and 1102101302.

It is not an unprimeable number, because it can be changed into a prime (1102101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106881 + ... + 116737.

It is an arithmetic number, because the mean of its divisors is an integer number (145903329).

Almost surely, 21102101313 is an apocalyptic number.

It is an amenable number.

1102101313 is a deficient number, since it is larger than the sum of its proper divisors (65125319).

1102101313 is an equidigital number, since it uses as much as digits as its factorization.

1102101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1102101313 is about 33197.9112746570. The cubic root of 1102101313 is about 1032.9370135967.

Adding to 1102101313 its reverse (3131012011), we get a palindrome (4233113324).

The spelling of 1102101313 in words is "one billion, one hundred two million, one hundred one thousand, three hundred thirteen".

Divisors: 1 17 6577 9857 111809 167569 64829489 1102101313