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1381103919 = 331317593923
BaseRepresentation
bin101001001010001…
…1111100100101111
310120020210100102000
41102110133210233
510312030311134
6345013503343
746140122016
oct12224374457
93506710360
101381103919
116496628a8
12326641b53
13190193970
14d15d3a7d
15813b0e99
hex5251f92f

1381103919 has 64 divisors (see below), whose sum is σ = 2373235200. Its totient is φ = 786157056.

The previous prime is 1381103903. The next prime is 1381103923. The reversal of 1381103919 is 9193011831.

It is not a de Polignac number, because 1381103919 - 24 = 1381103903 is a prime.

It is a super-2 number, since 2×13811039192 = 3814896070154317122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381103419) 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 63 ways as a sum of consecutive naturals, for example, 350092 + ... + 354014.

It is an arithmetic number, because the mean of its divisors is an integer number (37081800).

Almost surely, 21381103919 is an apocalyptic number.

1381103919 is a deficient number, since it is larger than the sum of its proper divisors (992131281).

1381103919 is a wasteful number, since it uses less digits than its factorization.

1381103919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1381103919 is about 37163.2065220427. The cubic root of 1381103919 is about 1113.6330702896.

The spelling of 1381103919 in words is "one billion, three hundred eighty-one million, one hundred three thousand, nine hundred nineteen".

Divisors: 1 3 9 13 17 27 39 51 59 117 153 177 221 351 459 531 663 767 1003 1593 1989 2301 3009 3923 5967 6903 9027 11769 13039 20709 27081 35307 39117 50999 66691 105921 117351 152997 200073 231457 352053 458991 600219 694371 866983 1376973 1800657 2083113 2600949 3008941 3934769 6249339 7802847 9026823 11804307 23408541 27080469 35412921 51151997 81241407 106238763 153455991 460367973 1381103919