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2013232032 = 253272331431
BaseRepresentation
bin111011111111111…
…0111101110100000
312012022020210011100
41313333313232200
513110341411112
6531434314400
7100614122100
oct16777675640
95168223140
102013232032
11943465029
12482288a00
1326112b076
14151541200
15bbb282dc
hex77ff7ba0

2013232032 has 216 divisors, whose sum is σ = 6695462592. Its totient is φ = 572140800.

The previous prime is 2013232027. The next prime is 2013232097. The reversal of 2013232032 is 2302323102.

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 = 2013231996 and 2013232014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4670857 + ... + 4671287.

It is an arithmetic number, because the mean of its divisors is an integer number (30997512).

Almost surely, 22013232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347731296).

2013232032 is an abundant number, since it is smaller than the sum of its proper divisors (4682230560).

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

2013232032 is a wasteful number, since it uses less digits than its factorization.

2013232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

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

The square root of 2013232032 is about 44869.0542802052. The cubic root of 2013232032 is about 1262.6934972774.

Adding to 2013232032 its reverse (2302323102), we get a palindrome (4315555134).

The spelling of 2013232032 in words is "two billion, thirteen million, two hundred thirty-two thousand, thirty-two".