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103642119 = 337548371
BaseRepresentation
bin1100010110101…
…11010000000111
321020000120021000
412023113100013
5203013021434
614141224343
72365641420
oct613272007
9236016230
10103642119
1153559949
122a8620b3
131861a4c9
14da9c647
159173b99
hex62d7407

103642119 has 16 divisors (see below), whose sum is σ = 175479040. Its totient is φ = 59223960.

The previous prime is 103642109. The next prime is 103642129. The reversal of 103642119 is 911246301.

103642119 is a `hidden beast` number, since 1 + 0 + 3 + 642 + 1 + 19 = 666.

It is an interprime number because it is at equal distance from previous prime (103642109) and next prime (103642129).

It is not a de Polignac number, because 103642119 - 24 = 103642103 is a prime.

It is a super-3 number, since 3×1036421193 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 103642092 and 103642101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103642109) 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, 273997 + ... + 274374.

It is an arithmetic number, because the mean of its divisors is an integer number (10967440).

Almost surely, 2103642119 is an apocalyptic number.

103642119 is a deficient number, since it is larger than the sum of its proper divisors (71836921).

103642119 is an equidigital number, since it uses as much as digits as its factorization.

103642119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548387 (or 548381 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103642119 is about 10180.4773463723. The cubic root of 103642119 is about 469.7268958115.

The spelling of 103642119 in words is "one hundred three million, six hundred forty-two thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 27 63 189 548371 1645113 3838597 4935339 11515791 14806017 34547373 103642119