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442201012331 = 13539731321139
BaseRepresentation
bin1100110111101010011…
…10111111100001101011
31120021101202012220210112
412123311032333201223
524221111424343311
6535051102204535
743643103405251
oct6336516774153
91507352186715
10442201012331
11160599a415a1
127185028374b
13329126b7c60
141758cbd25d1
15b78174c28b
hex66f53bf86b

442201012331 has 32 divisors (see below), whose sum is σ = 491793180480. Its totient is φ = 395070234624.

The previous prime is 442201012327. The next prime is 442201012349. The reversal of 442201012331 is 133210102244.

It is not a de Polignac number, because 442201012331 - 22 = 442201012327 is a prime.

It is a super-2 number, since 2×4422010123312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442201012297 and 442201012306.

It is not an unprimeable number, because it can be changed into a prime (442201012361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20908160 + ... + 20929298.

It is an arithmetic number, because the mean of its divisors is an integer number (15368536890).

Almost surely, 2442201012331 is an apocalyptic number.

442201012331 is a deficient number, since it is larger than the sum of its proper divisors (49592168149).

442201012331 is a wasteful number, since it uses less digits than its factorization.

442201012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 442201012331 its reverse (133210102244), we get a palindrome (575411114575).

The spelling of 442201012331 in words is "four hundred forty-two billion, two hundred one million, twelve thousand, three hundred thirty-one".

Divisors: 1 13 53 97 313 689 1261 4069 5141 16589 21139 30361 66833 215657 274807 394693 1120367 1609133 2050483 6616507 14564771 20918729 26656279 86014591 108675599 350674871 641801179 1412782787 4558773323 8343415327 34015462487 442201012331