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13123322320 = 2451009316253
BaseRepresentation
bin11000011100011011…
…00000000111010000
31020212120211211212211
430032031200013100
5203334032303240
610010114201504
7643131253633
oct141615400720
936776754784
1013123322320
115624856329
122662b83294
131311abcba4
148c6cabc1a
1551c1b1bea
hex30e3601d0

13123322320 has 40 divisors (see below), whose sum is σ = 30516624936. Its totient is φ = 5248485888.

The previous prime is 13123322299. The next prime is 13123322321. The reversal of 13123322320 is 2322332131.

It can be written as a sum of positive squares in 4 ways, for example, as 2228972944 + 10894349376 = 47212^2 + 104376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×131233223202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13123322291 and 13123322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799314 + ... + 815566.

Almost surely, 213123322320 is an apocalyptic number.

13123322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123322320 is an abundant number, since it is smaller than the sum of its proper divisors (17393302616).

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

13123322320 is a wasteful number, since it uses less digits than its factorization.

13123322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26359 (or 26353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13123322320 its reverse (2322332131), we get a palindrome (15445654451).

The spelling of 13123322320 in words is "thirteen billion, one hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10093 16253 20186 32506 40372 50465 65012 80744 81265 100930 130024 161488 162530 201860 260048 325060 403720 650120 807440 1300240 164041529 328083058 656166116 820207645 1312332232 1640415290 2624664464 3280830580 6561661160 13123322320