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2142201321 = 321337494849
BaseRepresentation
bin111111110101111…
…0110010111101001
312112021221002202200
41333223312113221
513341400420241
6552322450413
7104041260621
oct17753662751
95467832680
102142201321
119aa242617
124b9503a09
13281a75660
14164713881
15c81014b6
hex7faf65e9

2142201321 has 24 divisors (see below), whose sum is σ = 3422382600. Its totient is φ = 1282646016.

The previous prime is 2142201317. The next prime is 2142201337. The reversal of 2142201321 is 1231022412.

It is a happy number.

2142201321 is a `hidden beast` number, since 2 + 142 + 201 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73770921 + 2068430400 = 8589^2 + 45480^2 .

It is not a de Polignac number, because 2142201321 - 22 = 2142201317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2142201294 and 2142201303.

It is not an unprimeable number, because it can be changed into a prime (2142201371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243096 + ... + 251753.

It is an arithmetic number, because the mean of its divisors is an integer number (142599275).

Almost surely, 22142201321 is an apocalyptic number.

It is an amenable number.

2142201321 is a deficient number, since it is larger than the sum of its proper divisors (1280181279).

2142201321 is a wasteful number, since it uses less digits than its factorization.

2142201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494905 (or 494902 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142201321 is about 46283.9207608863. The cubic root of 2142201321 is about 1289.1004527334.

Adding to 2142201321 its reverse (1231022412), we get a palindrome (3373223733).

The spelling of 2142201321 in words is "two billion, one hundred forty-two million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 494849 1484547 4453641 6433037 18309413 19299111 54928239 57897333 164784717 238022369 714067107 2142201321