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103012013 = 1319341057
BaseRepresentation
bin1100010001111…
…01011010101101
321011211112220202
412020331122231
5202332341023
614115523245
72360405366
oct610753255
9234745822
10103012013
11531694a5
122a5b9525
1318459770
14d976b6d
15909c128
hex623d6ad

103012013 has 8 divisors (see below), whose sum is σ = 111513528. Its totient is φ = 94593024.

The previous prime is 103011991. The next prime is 103012037. The reversal of 103012013 is 310210301.

It can be written as a sum of positive squares in 4 ways, for example, as 3052009 + 99960004 = 1747^2 + 9998^2 .

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 103012013 - 212 = 103007917 is a prime.

It is a super-2 number, since 2×1030120132 = 21222949644624338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103011985 and 103012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18020 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (13939191).

Almost surely, 2103012013 is an apocalyptic number.

103012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103012013 is a deficient number, since it is larger than the sum of its proper divisors (8501515).

103012013 is a wasteful number, since it uses less digits than its factorization.

103012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41263.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 103012013 is about 10149.4833858675. The cubic root of 103012013 is about 468.7730378485.

Adding to 103012013 its reverse (310210301), we get a palindrome (413222314).

The spelling of 103012013 in words is "one hundred three million, twelve thousand, thirteen".

Divisors: 1 13 193 2509 41057 533741 7924001 103012013