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3320122013 = 13231512487
BaseRepresentation
bin1100010111100101…
…0000101010011101
322120101101200011222
43011321100222131
523244422401023
61305241423125
7145163400005
oct30571205235
98511350158
103320122013
11145413889a
12787a9aaa5
1340bb09150
14236d37005
15146729cc8
hexc5e50a9d

3320122013 has 24 divisors (see below), whose sum is σ = 3763557504. Its totient is φ = 2906085600.

The previous prime is 3320121991. The next prime is 3320122027. The reversal of 3320122013 is 3102210233.

3320122013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3320122013 - 216 = 3320056477 is a prime.

It is a super-3 number, since 3×33201220133 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 3320121982 and 3320122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320122613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6817256 + ... + 6817742.

It is an arithmetic number, because the mean of its divisors is an integer number (156814896).

Almost surely, 23320122013 is an apocalyptic number.

It is an amenable number.

3320122013 is a deficient number, since it is larger than the sum of its proper divisors (443435491).

3320122013 is a wasteful number, since it uses less digits than its factorization.

3320122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3320122013 is about 57620.4999370884. The cubic root of 3320122013 is about 1491.8254600418.

Adding to 3320122013 its reverse (3102210233), we get a palindrome (6422332246).

The spelling of 3320122013 in words is "three billion, three hundred twenty million, one hundred twenty-two thousand, thirteen".

Divisors: 1 13 23 151 299 487 1963 3473 6331 11201 22801 45149 73537 145613 296413 524423 955981 1691351 6817499 11104087 21987563 144353131 255394001 3320122013