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2131338312 = 23339867307
BaseRepresentation
bin111111100001001…
…1010010001001000
312111112111012112000
41333002122101020
513331110311222
6551253551000
7103550035215
oct17702322110
95445435460
102131338312
119a40a3024
124b5945460
1327c74103c
141630c6b0c
15c71a79ac
hex7f09a448

2131338312 has 32 divisors (see below), whose sum is σ = 5920384800. Its totient is φ = 710446032.

The previous prime is 2131338311. The next prime is 2131338323. The reversal of 2131338312 is 2138331312.

2131338312 is a `hidden beast` number, since 2 + 1 + 313 + 38 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2131338311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4933438 + ... + 4933869.

It is an arithmetic number, because the mean of its divisors is an integer number (185012025).

Almost surely, 22131338312 is an apocalyptic number.

It is an amenable number.

2131338312 is an abundant number, since it is smaller than the sum of its proper divisors (3789046488).

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

2131338312 is a wasteful number, since it uses less digits than its factorization.

2131338312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867322 (or 9867312 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2131338312 is about 46166.4197442253. The cubic root of 2131338312 is about 1286.9177685030.

Adding to 2131338312 its reverse (2138331312), we get a palindrome (4269669624).

It can be divided in two parts, 213133 and 8312, that added together give a triangular number (221445 = T665).

The spelling of 2131338312 in words is "two billion, one hundred thirty-one million, three hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9867307 19734614 29601921 39469228 59203842 78938456 88805763 118407684 177611526 236815368 266417289 355223052 532834578 710446104 1065669156 2131338312