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2131732369 = 13216977433
BaseRepresentation
bin111111100001111…
…1010011110010001
312111120020020001201
41333003322132101
513331210413434
6551310231201
7103553266114
oct17703723621
95446206051
102131732369
119a4342098
124b5ab5501
1327c84b500
1416318a57b
15c7234614
hex7f0fa791

2131732369 has 12 divisors (see below), whose sum is σ = 2309996556. Its totient is φ = 1966328832.

The previous prime is 2131732321. The next prime is 2131732373. The reversal of 2131732369 is 9632371312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 270931600 + 1860800769 = 16460^2 + 43137^2 .

It is not a de Polignac number, because 2131732369 - 27 = 2131732241 is a prime.

It is a super-2 number, since 2×21317323692 = 9088565786084704322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131730369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283077 + ... + 290509.

It is an arithmetic number, because the mean of its divisors is an integer number (192499713).

Almost surely, 22131732369 is an apocalyptic number.

It is an amenable number.

2131732369 is a deficient number, since it is larger than the sum of its proper divisors (178264187).

2131732369 is a wasteful number, since it uses less digits than its factorization.

2131732369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9143 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 2131732369 is about 46170.6873351480. The cubic root of 2131732369 is about 1286.9970751217.

The spelling of 2131732369 in words is "two billion, one hundred thirty-one million, seven hundred thirty-two thousand, three hundred sixty-nine".

Divisors: 1 13 169 1697 7433 22061 96629 286793 1256177 12613801 163979413 2131732369