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13122300303 = 327235478389
BaseRepresentation
bin11000011100010011…
…00110100110001111
31020212111220220221100
430032021212212033
5203333302102203
610010040234143
7643116466200
oct141611464617
936774826840
1013122300303
115624218492
12266276b953
131311822948
148c6ac35a7
1551c05dea3
hex30e26698f

13122300303 has 36 divisors (see below), whose sum is σ = 22057880520. Its totient is φ = 7495449696.

The previous prime is 13122300281. The next prime is 13122300307. The reversal of 13122300303 is 30300322131.

13122300303 is a `hidden beast` number, since 131 + 2 + 230 + 0 + 303 = 666.

13122300303 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 13122300303 - 222 = 13118105999 is a prime.

It is a super-2 number, since 2×131223003032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122300307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1560033 + ... + 1568421.

Almost surely, 213122300303 is an apocalyptic number.

13122300303 is a deficient number, since it is larger than the sum of its proper divisors (8935580217).

13122300303 is a wasteful number, since it uses less digits than its factorization.

13122300303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956 (or 11946 counting only the distinct ones).

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

Adding to 13122300303 its reverse (30300322131), we get a palindrome (43422622434).

The spelling of 13122300303 in words is "thirteen billion, one hundred twenty-two million, three hundred thousand, three hundred three".

Divisors: 1 3 7 9 21 49 63 147 441 3547 8389 10641 24829 25167 31923 58723 74487 75501 173803 176169 223461 411061 521409 528507 1233183 1564227 3699549 29755783 89267349 208290481 267802047 624871443 1458033367 1874614329 4374100101 13122300303