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103091319 = 337335209
BaseRepresentation
bin1100010010100…
…00110001110111
321011222120201000
412021100301313
5202342410234
614121334343
72361155532
oct611206167
9234876630
10103091319
1153213041
122a6373b3
13184868a6
14d997a19
1590b5899
hex6250c77

103091319 has 16 divisors (see below), whose sum is σ = 152965600. Its totient is φ = 68620608.

The previous prime is 103091311. The next prime is 103091323. The reversal of 103091319 is 913190301.

It is not a de Polignac number, because 103091319 - 23 = 103091311 is a prime.

It is a super-2 number, since 2×1030913192 = 21255640106319522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103091292 and 103091301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103091311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17187 + ... + 22395.

It is an arithmetic number, because the mean of its divisors is an integer number (9560350).

Almost surely, 2103091319 is an apocalyptic number.

103091319 is a deficient number, since it is larger than the sum of its proper divisors (49874281).

103091319 is an equidigital number, since it uses as much as digits as its factorization.

103091319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 103091319 is about 10153.3895325650. The cubic root of 103091319 is about 468.8933053045.

It can be divided in two parts, 10309 and 1319, that added together give a triangular number (11628 = T152).

The spelling of 103091319 in words is "one hundred three million, ninety-one thousand, three hundred nineteen".

Divisors: 1 3 9 27 733 2199 5209 6597 15627 19791 46881 140643 3818197 11454591 34363773 103091319