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2133501520 = 24526668769
BaseRepresentation
bin111111100101010…
…1010011001010000
312111200120002212211
41333022222121100
513332134022040
6551412201504
7103604315023
oct17712523120
95450502784
102133501520
119a53402a7
124b6609294
1328001a847
141634cb1ba
15c74838ea
hex7f2aa650

2133501520 has 20 divisors (see below), whose sum is σ = 4960391220. Its totient is φ = 853400576.

The previous prime is 2133501509. The next prime is 2133501523. The reversal of 2133501520 is 251053312.

It can be written as a sum of positive squares in 2 ways, for example, as 306110016 + 1827391504 = 17496^2 + 42748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2133501491 and 2133501500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133501523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13334305 + ... + 13334464.

It is an arithmetic number, because the mean of its divisors is an integer number (248019561).

Almost surely, 22133501520 is an apocalyptic number.

2133501520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133501520 is an abundant number, since it is smaller than the sum of its proper divisors (2826889700).

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

2133501520 is a wasteful number, since it uses less digits than its factorization.

2133501520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26668782 (or 26668776 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2133501520 is about 46189.8421733610. The cubic root of 2133501520 is about 1287.3530082605.

Adding to 2133501520 its reverse (251053312), we get a palindrome (2384554832).

The spelling of 2133501520 in words is "two billion, one hundred thirty-three million, five hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26668769 53337538 106675076 133343845 213350152 266687690 426700304 533375380 1066750760 2133501520