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13023220032 = 2632311933779
BaseRepresentation
bin11000010000011111…
…01001000101000000
31020121121111010100200
430020033221011000
5203132421020112
65552140445200
7640504354344
oct141017510500
936547433320
1013023220032
1155832a4a69
122635549800
1312c7141974
148b7891624
155134dbcdc
hex3083e9140

13023220032 has 168 divisors, whose sum is σ = 38742762240. Its totient is φ = 4178165760.

The previous prime is 13023220031. The next prime is 13023220079. The reversal of 13023220032 is 23002232031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13023219987 and 13023220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023220031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3444319 + ... + 3448097.

It is an arithmetic number, because the mean of its divisors is an integer number (230611680).

Almost surely, 213023220032 is an apocalyptic number.

13023220032 is a gapful number since it is divisible by the number (12) 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 13023220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371381120).

13023220032 is an abundant number, since it is smaller than the sum of its proper divisors (25719542208).

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

13023220032 is a wasteful number, since it uses less digits than its factorization.

13023220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13023220032 its reverse (23002232031), we get a palindrome (36025452063).

The spelling of 13023220032 in words is "thirteen billion, twenty-three million, two hundred twenty thousand, thirty-two".