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314141321121 = 32921093113673
BaseRepresentation
bin1001001001001000100…
…10000010011110100001
31010000212001022120110020
410210210102002132201
520121330134233441
6400151534424053
731460500112655
oct4444422023641
91100761276406
10314141321121
1111125464a151
1250a71362029
13238147bb244
14112c12c4a65
158288e09e66
hex49244827a1

314141321121 has 48 divisors (see below), whose sum is σ = 439303413120. Its totient is φ = 199652221440.

The previous prime is 314141321111. The next prime is 314141321129. The reversal of 314141321121 is 121123141413.

It is not a de Polignac number, because 314141321121 - 27 = 314141320993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314141321091 and 314141321100.

It is not an unprimeable number, because it can be changed into a prime (314141321129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85525341 + ... + 85529013.

It is an arithmetic number, because the mean of its divisors is an integer number (9152154440).

Almost surely, 2314141321121 is an apocalyptic number.

It is an amenable number.

314141321121 is a deficient number, since it is larger than the sum of its proper divisors (125162091999).

314141321121 is a wasteful number, since it uses less digits than its factorization.

314141321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4125 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 314141321121 its reverse (121123141413), we get a palindrome (435264462534).

The spelling of 314141321121 in words is "three hundred fourteen billion, one hundred forty-one million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 29 87 109 311 327 841 933 2523 3161 3673 9019 9483 11019 27057 33899 91669 101697 106517 261551 275007 319551 400357 784653 983071 1142303 1201071 2949213 3088993 3426909 9266979 11610353 28509059 33126787 34831059 85527177 99380361 124511027 336700237 373533081 960676823 1010100711 2882030469 3610819783 10832459349 104713773707 314141321121