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1385101319 = 7416121297
BaseRepresentation
bin101001010001110…
…1111100000000111
310120112022102210212
41102203233200013
510314041220234
6345235310035
746216111160
oct12243574007
93515272725
101385101319
11650943138
12327a4b31b
13190c632a4
14d1d54767
15819005ce
hex528ef807

1385101319 has 24 divisors (see below), whose sum is σ = 1649872224. Its totient is φ = 1138406400.

The previous prime is 1385101313. The next prime is 1385101321. The reversal of 1385101319 is 9131015831.

It is a happy number.

It is not a de Polignac number, because 1385101319 - 24 = 1385101303 is a prime.

It is a super-2 number, since 2×13851013192 = 3837011327791079522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385101313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067279 + ... + 1068575.

It is an arithmetic number, because the mean of its divisors is an integer number (68744676).

Almost surely, 21385101319 is an apocalyptic number.

1385101319 is a deficient number, since it is larger than the sum of its proper divisors (264770905).

1385101319 is an equidigital number, since it uses as much as digits as its factorization.

1385101319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 1385101319 is about 37216.9493510685. The cubic root of 1385101319 is about 1114.7064505037.

The spelling of 1385101319 in words is "one billion, three hundred eighty-five million, one hundred one thousand, three hundred nineteen".

Divisors: 1 7 41 61 287 427 1297 2501 3721 9079 17507 26047 53177 79117 152561 372239 553819 1067927 3243797 4826137 22706579 33782959 197871617 1385101319