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1312113023 = 13177381331
BaseRepresentation
bin100111000110101…
…0100000101111111
310101102222020200122
41032031110011333
510141400104043
6334111045155
744341530254
oct11615240577
93342866618
101312113023
11613720a31
123075107bb
1317bab9550
14c639542b
157a2d4368
hex4e35417f

1312113023 has 16 divisors (see below), whose sum is σ = 1516679136. Its totient is φ = 1124305920.

The previous prime is 1312113007. The next prime is 1312113029. The reversal of 1312113023 is 3203112131.

It is a cyclic number.

It is not a de Polignac number, because 1312113023 - 24 = 1312113007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312112992 and 1312113010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312113029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24533 + ... + 56798.

It is an arithmetic number, because the mean of its divisors is an integer number (94792446).

Almost surely, 21312113023 is an apocalyptic number.

1312113023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1312113023 is a deficient number, since it is larger than the sum of its proper divisors (204566113).

1312113023 is a wasteful number, since it uses less digits than its factorization.

1312113023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81434.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1312113023 is about 36223.1006817473. The cubic root of 1312113023 is about 1094.7721697486.

Adding to 1312113023 its reverse (3203112131), we get a palindrome (4515225154).

The spelling of 1312113023 in words is "one billion, three hundred twelve million, one hundred thirteen thousand, twenty-three".

Divisors: 1 13 17 73 221 949 1241 16133 81331 1057303 1382627 5937163 17974151 77183119 100931771 1312113023