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314211410233 = 73197211263269
BaseRepresentation
bin1001001001010000111…
…01011010000100111001
31010001000221012110122021
410210220131122010321
520122001110111413
6400202520554441
731462310630260
oct4445035320471
91101027173567
10314211410233
11111290171136
1250a90922a21
132382618b4a6
14112ca72b5d7
15829015218d
hex492875a139

314211410233 has 64 divisors (see below), whose sum is σ = 379113799680. Its totient is φ = 254799820800.

The previous prime is 314211410213. The next prime is 314211410251. The reversal of 314211410233 is 332014112413.

It is not a de Polignac number, because 314211410233 - 221 = 314209313081 is a prime.

It is a super-2 number, since 2×3142114102332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314211410198 and 314211410207.

It is not an unprimeable number, because it can be changed into a prime (314211410213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168072023 + ... + 1168072291.

It is an arithmetic number, because the mean of its divisors is an integer number (5923653120).

Almost surely, 2314211410233 is an apocalyptic number.

It is an amenable number.

314211410233 is a deficient number, since it is larger than the sum of its proper divisors (64902389447).

314211410233 is a wasteful number, since it uses less digits than its factorization.

314211410233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 314211410233 its reverse (332014112413), we get a palindrome (646225522646).

The spelling of 314211410233 in words is "three hundred fourteen billion, two hundred eleven million, four hundred ten thousand, two hundred thirty-three".

Divisors: 1 7 31 97 211 217 263 269 679 1477 1841 1883 3007 6541 8153 8339 20467 21049 25511 26093 45787 55493 56759 57071 58373 70747 143269 178577 182651 388451 397313 495229 634477 790841 808883 1720283 1759529 2193157 4441339 5382821 5505623 5535887 5662181 6862459 12041981 12316703 14927617 15352099 37679747 38539361 48037213 104493319 166867451 170674313 212736229 462756127 1168072157 1194720191 1447978849 1489153603 3239292889 10135851943 44887344319 314211410233