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2142120331 = 13359458993
BaseRepresentation
bin111111110101110…
…0010100110001011
312112021202222200001
41333223202212023
513341340322311
6552321023431
7104040502531
oct17753424613
95467688601
102142120331
119aa19778a
124b9484b77
13281a47830
141646d2151
15c80d74c1
hex7fae298b

2142120331 has 8 divisors (see below), whose sum is σ = 2313329760. Its totient is φ = 1971829632.

The previous prime is 2142120311. The next prime is 2142120353. The reversal of 2142120331 is 1330212412.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142120331 - 213 = 2142112139 is a prime.

It is a super-2 number, since 2×21421203312 = 9177359024967099122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142120299 and 2142120308.

It is not an unprimeable number, because it can be changed into a prime (2142120301) 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 7 ways as a sum of consecutive naturals, for example, 224830 + ... + 234163.

It is an arithmetic number, because the mean of its divisors is an integer number (289166220).

Almost surely, 22142120331 is an apocalyptic number.

2142120331 is a deficient number, since it is larger than the sum of its proper divisors (171209429).

2142120331 is a wasteful number, since it uses less digits than its factorization.

2142120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459365.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2142120331 is about 46283.0458267388. The cubic root of 2142120331 is about 1289.0842068962.

Adding to 2142120331 its reverse (1330212412), we get a palindrome (3472332743).

The spelling of 2142120331 in words is "two billion, one hundred forty-two million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 13 359 4667 458993 5966909 164778487 2142120331