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442113204213131 = 11241745122382531
BaseRepresentation
bin110010010000110011000000…
…0011111001101010110001011
32010222101121110100201211212212
41210201212000133031112023
5430422040320234310011
64204144000243255335
7162060424230313013
oct14441460037152613
92128347410654785
10442113204213131
1111896417aa02390
124170460167a54b
1315c9013365bb79
147b2657115ac43
15361a5a43a208b
hex19219807cd58b

442113204213131 has 16 divisors (see below), whose sum is σ = 484371601059456. Its totient is φ = 400199636400000.

The previous prime is 442113204213017. The next prime is 442113204213133. The reversal of 442113204213131 is 131312402311244.

It is a cyclic number.

It is not a de Polignac number, because 442113204213131 - 210 = 442113204212107 is a prime.

It is a super-2 number, since 2×4421132042131312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442113204213133) 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, 8561336 + ... + 30943866.

It is an arithmetic number, because the mean of its divisors is an integer number (30273225066216).

Almost surely, 2442113204213131 is an apocalyptic number.

442113204213131 is a deficient number, since it is larger than the sum of its proper divisors (42258396846325).

442113204213131 is a wasteful number, since it uses less digits than its factorization.

442113204213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22390234.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 442113204213131 its reverse (131312402311244), we get a palindrome (573425606524375).

The spelling of 442113204213131 in words is "four hundred forty-two trillion, one hundred thirteen billion, two hundred four million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 11 241 2651 7451 81961 1795691 19752601 22382531 246207841 5394189971 59336089681 166772238481 1834494623291 40192109473921 442113204213131