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314341011222 = 237237157184057
BaseRepresentation
bin1001001001100000010…
…11110010111100010110
31010001100222001212202220
410210300023302330112
520122232244324342
6400223430443210
731465443336600
oct4446013627426
91101328055686
10314341011222
11111347340297
1250b08203506
1323846c97474
14112dda26170
15829b7025ec
hex49302f2f16

314341011222 has 96 divisors (see below), whose sum is σ = 755877614688. Its totient is φ = 86827313664.

The previous prime is 314341011221. The next prime is 314341011227. The reversal of 314341011222 is 222110143413.

It is a junction number, because it is equal to n+sod(n) for n = 314341011192 and 314341011201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314341011221) 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, 1615818 + ... + 1799874.

It is an arithmetic number, because the mean of its divisors is an integer number (7873725153).

Almost surely, 2314341011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314341011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377938807344).

314341011222 is an abundant number, since it is smaller than the sum of its proper divisors (441536603466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314341011222 is a wasteful number, since it uses less digits than its factorization.

314341011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184270 (or 184263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 314341011222 its reverse (222110143413), we get a palindrome (536451154635).

The spelling of 314341011222 in words is "three hundred fourteen billion, three hundred forty-one million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 157 222 259 294 314 471 518 777 942 1099 1554 1813 2198 3297 3626 5439 5809 6594 7693 10878 11618 15386 17427 23079 34854 40663 46158 81326 121989 184057 243978 284641 368114 552171 569282 853923 1104342 1288399 1707846 2576798 3865197 6810109 7730394 9018793 13620218 18037586 20430327 27056379 28896949 40860654 47670763 54112758 57793898 86690847 95341526 143012289 173381694 202278643 286024578 333695341 404557286 606835929 667390682 1001086023 1069187113 1213671858 1415950501 2002172046 2138374226 2831901002 3207561339 4247851503 6415122678 7484309791 8495703006 14968619582 22452929373 44905858746 52390168537 104780337074 157170505611 314341011222