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321131412342 = 232131372356463
BaseRepresentation
bin1001010110001001110…
…11000111101101110110
31010200220012101222221200
410223010323013231312
520230134120143332
6403305320353330
732125635652446
oct4530473075566
91120805358850
10321131412342
11114211346144
12522a2315846
1324389a34cb0
14117857c2126
15854791817c
hex4ac4ec7b76

321131412342 has 24 divisors (see below), whose sum is σ = 749306629344. Its totient is φ = 98809665264.

The previous prime is 321131412331. The next prime is 321131412353. The reversal of 321131412342 is 243214131123.

321131412342 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 314 + 1 + 2 + 342 = 666.

It is an interprime number because it is at equal distance from previous prime (321131412331) and next prime (321131412353).

It is a super-3 number, since 3×3211314123423 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686177998 + ... + 686178465.

It is an arithmetic number, because the mean of its divisors is an integer number (31221109556).

Almost surely, 2321131412342 is an apocalyptic number.

321131412342 is an abundant number, since it is smaller than the sum of its proper divisors (428175217002).

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

321131412342 is a wasteful number, since it uses less digits than its factorization.

321131412342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372356484 (or 1372356481 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 321131412342 its reverse (243214131123), we get a palindrome (564345543465).

The spelling of 321131412342 in words is "three hundred twenty-one billion, one hundred thirty-one million, four hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1372356463 2744712926 4117069389 8234138778 12351208167 17840634019 24702416334 35681268038 53521902057 107043804114 160565706171 321131412342