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2142320131 = 72312336053
BaseRepresentation
bin111111110110001…
…0011011000000011
312112022011010202001
41333230103120003
513341413221011
6552325204431
7104042264200
oct17754233003
95468133661
102142320131
119aa313906
124b9560717
13281ab7763
14164744ca7
15c81267c1
hex7fb13603

2142320131 has 24 divisors (see below), whose sum is σ = 2583944064. Its totient is φ = 1769120640.

The previous prime is 2142320099. The next prime is 2142320137. The reversal of 2142320131 is 1310232412.

It is a happy number.

It is not a de Polignac number, because 2142320131 - 25 = 2142320099 is a prime.

It is a super-2 number, since 2×21423201312 = 9179071087375714322, 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 = 2142320099 and 2142320108.

It is not an unprimeable number, because it can be changed into a prime (2142320137) 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 23 ways as a sum of consecutive naturals, for example, 350901 + ... + 356953.

It is an arithmetic number, because the mean of its divisors is an integer number (107664336).

Almost surely, 22142320131 is an apocalyptic number.

2142320131 is a deficient number, since it is larger than the sum of its proper divisors (441623933).

2142320131 is a wasteful number, since it uses less digits than its factorization.

2142320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6324 counting only the distinct ones).

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

The square root of 2142320131 is about 46285.2042341827. The cubic root of 2142320131 is about 1289.1242841682.

Adding to 2142320131 its reverse (1310232412), we get a palindrome (3452552543).

The spelling of 2142320131 in words is "two billion, one hundred forty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 31 49 217 233 1519 1631 6053 7223 11417 42371 50561 187643 296597 353927 1313501 1410349 9194507 9872443 43720819 69107101 306045733 2142320131