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2142324331 = 76114993347
BaseRepresentation
bin111111110110001…
…0100011001101011
312112022011100111121
41333230110121223
513341413334311
6552325240111
7104042312350
oct17754243153
95468140447
102142324331
119aa316a84
124b9563037
13281ab9644
14164746627
15c8127b71
hex7fb1466b

2142324331 has 16 divisors (see below), whose sum is σ = 2490912000. Its totient is φ = 1804430880.

The previous prime is 2142324329. The next prime is 2142324391. The reversal of 2142324331 is 1334232412.

It is not a de Polignac number, because 2142324331 - 21 = 2142324329 is a prime.

It is a super-2 number, since 2×21423243312 = 9179107078389195122, 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 = 2142324296 and 2142324305.

It is not an unprimeable number, because it can be changed into a prime (2142324311) 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 15 ways as a sum of consecutive naturals, for example, 638400 + ... + 641746.

It is an arithmetic number, because the mean of its divisors is an integer number (155682000).

Almost surely, 22142324331 is an apocalyptic number.

2142324331 is a deficient number, since it is larger than the sum of its proper divisors (348587669).

2142324331 is a wasteful number, since it uses less digits than its factorization.

2142324331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914.

The product of its digits is 3456, while the sum is 25.

The square root of 2142324331 is about 46285.2496050308. The cubic root of 2142324331 is about 1289.1251266066.

Adding to 2142324331 its reverse (1334232412), we get a palindrome (3476556743).

It can be divided in two parts, 21423 and 24331, that added together give a palindrome (45754).

The spelling of 2142324331 in words is "two billion, one hundred forty-two million, three hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 61 427 1499 3347 10493 23429 91439 204167 640073 1429169 5017153 35120071 306046333 2142324331