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442311331 = 71121412683
BaseRepresentation
bin11010010111010…
…010001010100011
31010211021202002011
4122113102022203
51401212430311
6111520133351
713650404260
oct3227221243
91124252064
10442311331
11207745060
12104167257
13708371a7
1442a5a267
1528c70321
hex1a5d22a3

442311331 has 16 divisors (see below), whose sum is σ = 551916288. Its totient is φ = 344368800.

The previous prime is 442311301. The next prime is 442311361. The reversal of 442311331 is 133113244.

It is an interprime number because it is at equal distance from previous prime (442311301) and next prime (442311361).

It is a cyclic number.

It is not a de Polignac number, because 442311331 - 25 = 442311299 is a prime.

It is a super-2 number, since 2×4423113312 = 391278627061983122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442311301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163516 + ... + 166198.

It is an arithmetic number, because the mean of its divisors is an integer number (34494768).

Almost surely, 2442311331 is an apocalyptic number.

442311331 is a deficient number, since it is larger than the sum of its proper divisors (109604957).

442311331 is a wasteful number, since it uses less digits than its factorization.

442311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842.

The product of its digits is 864, while the sum is 22.

The square root of 442311331 is about 21031.1989910228. The cubic root of 442311331 is about 761.9199672307.

Adding to 442311331 its reverse (133113244), we get a palindrome (575424575).

The spelling of 442311331 in words is "four hundred forty-two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 11 77 2141 2683 14987 18781 23551 29513 164857 206591 5744303 40210121 63187333 442311331