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13103003322 = 232727944629
BaseRepresentation
bin11000011001111111…
…11111011010111010
31020211011121112110100
430030333333122322
5203313332101242
610004110500230
7642463455603
oct141477773272
936734545410
1013103003322
115614338372
122658204676
13130a827506
148c42dcdaa
1551a4eb54c
hex30cfff6ba

13103003322 has 12 divisors (see below), whose sum is σ = 28389840570. Its totient is φ = 4367667768.

The previous prime is 13103003299. The next prime is 13103003339. The reversal of 13103003322 is 22330030131.

13103003322 is a `hidden beast` number, since 1 + 31 + 0 + 300 + 332 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12932465841 + 170537481 = 113721^2 + 13059^2 .

It is a super-3 number, since 3×131030033223 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 727944629 = 13103003322 / (1 + 3 + 1 + 0 + 3 + 0 + 0 + 3 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 13103003295 and 13103003304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363972297 + ... + 363972332.

Almost surely, 213103003322 is an apocalyptic number.

13103003322 is an abundant number, since it is smaller than the sum of its proper divisors (15286837248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103003322 is a wasteful number, since it uses less digits than its factorization.

13103003322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727944637 (or 727944634 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13103003322 its reverse (22330030131), we get a palindrome (35433033453).

The spelling of 13103003322 in words is "thirteen billion, one hundred three million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 727944629 1455889258 2183833887 4367667774 6551501661 13103003322