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2175131321 = 112337317733
BaseRepresentation
bin1000000110100101…
…1101111010111001
312121120220010020022
42001221131322321
513423313200241
6555500340225
7104621211506
oct20151357271
95546803208
102175131321
11a168943a0
12508544675
1328883516c
14168c464ad
15cae5854b
hex81a5deb9

2175131321 has 32 divisors (see below), whose sum is σ = 2554460928. Its totient is φ = 1831991040.

The previous prime is 2175131311. The next prime is 2175131323. The reversal of 2175131321 is 1231315712.

It is a de Polignac number, because none of the positive numbers 2k-2175131321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2175131323) 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 31 ways as a sum of consecutive naturals, for example, 2967071 + ... + 2967803.

It is an arithmetic number, because the mean of its divisors is an integer number (79826904).

Almost surely, 22175131321 is an apocalyptic number.

It is an amenable number.

2175131321 is a deficient number, since it is larger than the sum of its proper divisors (379329607).

2175131321 is a wasteful number, since it uses less digits than its factorization.

2175131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121.

The product of its digits is 1260, while the sum is 26.

The square root of 2175131321 is about 46638.3031530951. The cubic root of 2175131321 is about 1295.6722598918.

The spelling of 2175131321 in words is "two billion, one hundred seventy-five million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 11 23 37 253 317 407 733 851 3487 7291 8063 9361 11729 16859 27121 80201 129019 185449 232361 269767 298331 623783 2555971 2967437 5344303 6861613 8597357 58787333 94570927 197739211 2175131321