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122206013 = 1717414129
BaseRepresentation
bin1110100100010…
…11011100111101
322111221201010122
413102023130331
5222241043023
620043144325
73012506516
oct722133475
9274851118
10122206013
1162a89206
1234b150a5
131c41a067
1412331a0d
15aade2c8
hex748b73d

122206013 has 8 divisors (see below), whose sum is σ = 129500280. Its totient is φ = 114923520.

The previous prime is 122206003. The next prime is 122206027. The reversal of 122206013 is 310602221.

It can be written as a sum of positive squares in 4 ways, for example, as 4418404 + 117787609 = 2102^2 + 10853^2 .

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 122206013 - 214 = 122189629 is a prime.

It is a super-2 number, since 2×1222060132 = 29868619226712338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122205982 and 122206000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122206003) 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, 27533 + ... + 31661.

It is an arithmetic number, because the mean of its divisors is an integer number (16187535).

Almost surely, 2122206013 is an apocalyptic number.

It is an amenable number.

122206013 is a deficient number, since it is larger than the sum of its proper divisors (7294267).

122206013 is a wasteful number, since it uses less digits than its factorization.

122206013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 122206013 is about 11054.6828538859. The cubic root of 122206013 is about 496.2465781540.

Adding to 122206013 its reverse (310602221), we get a palindrome (432808234).

The spelling of 122206013 in words is "one hundred twenty-two million, two hundred six thousand, thirteen".

Divisors: 1 17 1741 4129 29597 70193 7188589 122206013