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1312820743 = 137110913049
BaseRepresentation
bin100111001000000…
…0000111000000111
310101111022012111111
41032100000320013
510142040230433
6334134145451
744350535503
oct11620007007
93344265444
101312820743
11614064723
123077b2287
1317bca6710
14c64db303
157a3c3dcd
hex4e400e07

1312820743 has 16 divisors (see below), whose sum is σ = 1446984000. Its totient is φ = 1183714560.

The previous prime is 1312820731. The next prime is 1312820777. The reversal of 1312820743 is 3470282131.

It is a cyclic number.

It is not a de Polignac number, because 1312820743 - 217 = 1312689671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312820783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94083 + ... + 107131.

It is an arithmetic number, because the mean of its divisors is an integer number (90436500).

Almost surely, 21312820743 is an apocalyptic number.

1312820743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1312820743 is a deficient number, since it is larger than the sum of its proper divisors (134163257).

1312820743 is a wasteful number, since it uses less digits than its factorization.

1312820743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1312820743 is about 36232.8682690178. The cubic root of 1312820743 is about 1094.9689650163.

The spelling of 1312820743 in words is "one billion, three hundred twelve million, eight hundred twenty thousand, seven hundred forty-three".

Divisors: 1 13 71 109 923 1417 7739 13049 100607 169637 926479 1422341 12044227 18490433 100986211 1312820743