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13332021024 = 2537237112149
BaseRepresentation
bin11000110101010011…
…00111111100100000
31021102010112211200110
430122221213330200
5204300444133044
610042531251320
7651244210650
oct143251477440
937363484613
1013332021024
11572163a7a3
122700a49b40
13134610164a
149068b6360
155306886b9
hex31aa67f20

13332021024 has 192 divisors, whose sum is σ = 42326323200. Its totient is φ = 3591920640.

The previous prime is 13332021007. The next prime is 13332021113. The reversal of 13332021024 is 42012023331.

13332021024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1091302 + ... + 1103450.

It is an arithmetic number, because the mean of its divisors is an integer number (220449600).

Almost surely, 213332021024 is an apocalyptic number.

13332021024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163161600).

13332021024 is an abundant number, since it is smaller than the sum of its proper divisors (28994302176).

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

13332021024 is a wasteful number, since it uses less digits than its factorization.

13332021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263 (or 12255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13332021024 its reverse (42012023331), we get a palindrome (55344044355).

The spelling of 13332021024 in words is "thirteen billion, three hundred thirty-two million, twenty-one thousand, twenty-four".