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2133525331 = 729312497
BaseRepresentation
bin111111100101011…
…0000001101010011
312111200121022112201
41333022300031103
513332140302311
6551412504031
7103604444320
oct17712601523
95450538481
102133525331
119a5357183
124b661b017
13280028632
141634d5b47
15c748a9c1
hex7f2b0353

2133525331 has 16 divisors (see below), whose sum is σ = 2525595840. Its totient is φ = 1765534848.

The previous prime is 2133525301. The next prime is 2133525341. The reversal of 2133525331 is 1335253312.

It is not a de Polignac number, because 2133525331 - 211 = 2133523283 is a prime.

It is a super-3 number, since 3×21335253313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2133525331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133525301) 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 15 ways as a sum of consecutive naturals, for example, 164475 + ... + 176971.

It is an arithmetic number, because the mean of its divisors is an integer number (157849740).

Almost surely, 22133525331 is an apocalyptic number.

2133525331 is a deficient number, since it is larger than the sum of its proper divisors (392070509).

2133525331 is an frugal number, since it uses more digits than its factorization.

2133525331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591 (or 12533 counting only the distinct ones).

The product of its digits is 8100, while the sum is 28.

The square root of 2133525331 is about 46190.0999241179. The cubic root of 2133525331 is about 1287.3577974217.

Adding to 2133525331 its reverse (1335253312), we get a palindrome (3468778643).

The spelling of 2133525331 in words is "two billion, one hundred thirty-three million, five hundred twenty-five thousand, three hundred thirty-one".

Divisors: 1 7 29 203 841 5887 12497 24389 87479 170723 362413 2536891 10509977 73569839 304789333 2133525331