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131448344313 = 31121373937693
BaseRepresentation
bin111101001101011101…
…1101000111011111001
3110120021212020202111210
41322122323220323321
54123201234004223
6140215254113333
712332261330346
oct1723273507371
9416255222453
10131448344313
1150824188700
122158594b849
13c51ac7bbc0
14650d9a37cd
1536450a7893
hex1e9aee8ef9

131448344313 has 48 divisors (see below), whose sum is σ = 207751234880. Its totient is φ = 73436077440.

The previous prime is 131448344219. The next prime is 131448344353. The reversal of 131448344313 is 313443844131.

It is a happy number.

It is not a de Polignac number, because 131448344313 - 28 = 131448344057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131448344353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468495 + ... + 3506187.

Almost surely, 2131448344313 is an apocalyptic number.

131448344313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131448344313 is a deficient number, since it is larger than the sum of its proper divisors (76302890567).

131448344313 is a wasteful number, since it uses less digits than its factorization.

131448344313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38470 (or 38459 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 131448344313 in words is "one hundred thirty-one billion, four hundred forty-eight million, three hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 11 13 33 39 121 143 363 429 739 1573 2217 4719 8129 9607 24387 28821 37693 89419 105677 113079 268257 317031 414623 490009 1162447 1243869 1470027 3487341 4560853 5390099 13682559 16170297 27855127 59291089 83565381 177873267 306406397 362116651 919219191 1086349953 3370470367 3983283161 10111411101 11949849483 43816114771 131448344313