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103506013 = 1317468353
BaseRepresentation
bin1100010101101…
…10000001011101
321012202122120001
412022312001131
5202444143023
614134254301
72364533542
oct612660135
9235678501
10103506013
1153476666
122a7b7391
13185a0580
14da64bc9
1591486ad
hex62b605d

103506013 has 8 divisors (see below), whose sum is σ = 118025208. Its totient is φ = 89923584.

The previous prime is 103505999. The next prime is 103506019. The reversal of 103506013 is 310605301.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 100540729 = 1722^2 + 10027^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103506013 - 221 = 101408861 is a prime.

It is a super-3 number, since 3×1035060133 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103506019) 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 7 ways as a sum of consecutive naturals, for example, 233956 + ... + 234397.

It is an arithmetic number, because the mean of its divisors is an integer number (14753151).

Almost surely, 2103506013 is an apocalyptic number.

103506013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103506013 is a deficient number, since it is larger than the sum of its proper divisors (14519195).

103506013 is a wasteful number, since it uses less digits than its factorization.

103506013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468383.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 103506013 is about 10173.7904932233. The cubic root of 103506013 is about 469.5211858291.

The spelling of 103506013 in words is "one hundred three million, five hundred six thousand, thirteen".

Divisors: 1 13 17 221 468353 6088589 7962001 103506013