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2131132444 = 2271715728517
BaseRepresentation
bin111111100000110…
…1000000000011100
312111112002202010021
41333001220000130
513331032214234
6551245321524
7103545220060
oct17701500034
95445082107
102131132444
119a3a72391
124b58662a4
1327c69b41c
14163071aa0
15c71669b4
hex7f06801c

2131132444 has 48 divisors (see below), whose sum is σ = 4541890752. Its totient is φ = 854111232.

The previous prime is 2131132433. The next prime is 2131132453. The reversal of 2131132444 is 4442311312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60474 + ... + 88990.

It is an arithmetic number, because the mean of its divisors is an integer number (94622724).

Almost surely, 22131132444 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 2131132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270945376).

2131132444 is an abundant number, since it is smaller than the sum of its proper divisors (2410758308).

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

2131132444 is a wasteful number, since it uses less digits than its factorization.

2131132444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28702 (or 28700 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2131132444 is about 46164.1900611286. The cubic root of 2131132444 is about 1286.8763322973.

Adding to 2131132444 its reverse (4442311312), we get a palindrome (6573443756).

The spelling of 2131132444 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 157 238 314 476 628 1099 2198 2669 4396 5338 10676 18683 28517 37366 57034 74732 114068 199619 399238 484789 798476 969578 1939156 3393523 4477169 6787046 8954338 13574092 17908676 31340183 62680366 76111873 125360732 152223746 304447492 532783111 1065566222 2131132444