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1313101010 = 251310100777
BaseRepresentation
bin100111001000100…
…0101010011010010
310101111211102221202
41032101011103102
510142123213020
6334144151202
744353113554
oct11621052322
93344742852
101313101010
11614236251
12307908502
1317c074160
14c65714d4
157a42be75
hex4e4454d2

1313101010 has 16 divisors (see below), whose sum is σ = 2545396056. Its totient is φ = 484837248.

The previous prime is 1313100977. The next prime is 1313101021. The reversal of 1313101010 is 101013131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 746327761 + 566773249 = 27319^2 + 23807^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1313100982 and 1313101000.

It is an unprimeable number.

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, 5050259 + ... + 5050518.

Almost surely, 21313101010 is an apocalyptic number.

1313101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313101010 is a deficient number, since it is larger than the sum of its proper divisors (1232295046).

1313101010 is a wasteful number, since it uses less digits than its factorization.

1313101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100797.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1313101010 is about 36236.7356421629. The cubic root of 1313101010 is about 1095.0468791395.

Adding to 1313101010 its reverse (101013131), we get a palindrome (1414114141).

The spelling of 1313101010 in words is "one billion, three hundred thirteen million, one hundred one thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 10100777 20201554 50503885 101007770 131310101 262620202 656550505 1313101010