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13020332024 = 237394758907
BaseRepresentation
bin11000010000001001…
…00111111111111000
31020121102001101202102
430020010213333320
5203131201111044
65551554522532
7640440665450
oct141004477770
936542041672
1013020332024
115581702187
122634596448
1312c667029b
148b733cd60
1551311b24e
hex308127ff8

13020332024 has 32 divisors (see below), whose sum is σ = 27908254080. Its totient is φ = 5578633824.

The previous prime is 13020332023. The next prime is 13020332047. The reversal of 13020332024 is 42023302031.

13020332024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13020331987 and 13020332005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020332023) 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 7 ways as a sum of consecutive naturals, for example, 191579 + ... + 250485.

It is an arithmetic number, because the mean of its divisors is an integer number (872132940).

Almost surely, 213020332024 is an apocalyptic number.

13020332024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13020332024 is an abundant number, since it is smaller than the sum of its proper divisors (14887922056).

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

13020332024 is a wasteful number, since it uses less digits than its factorization.

13020332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62867 (or 62863 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13020332024 its reverse (42023302031), we get a palindrome (55043634055).

The spelling of 13020332024 in words is "thirteen billion, twenty million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 3947 7894 15788 27629 31576 55258 58907 110516 117814 221032 235628 412349 471256 824698 1649396 3298792 232505929 465011858 930023716 1627541503 1860047432 3255083006 6510166012 13020332024