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1312221300301 = 17241320288333
BaseRepresentation
bin10011000110000110011…
…111000000011001001101
311122110001221212211112001
4103012012133000121031
5132444412123102201
62442454240312301
7163543032005452
oct23060637003115
94573057784461
101312221300301
11466567794a7a
12192398312691
1396985063492
1447724731829
1524201d0b301
hex131867c064d

1312221300301 has 8 divisors (see below), whose sum is σ = 1395175982904. Its totient is φ = 1229907194880.

The previous prime is 1312221300293. The next prime is 1312221300307. The reversal of 1312221300301 is 1030031222131.

It can be written as a sum of positive squares in 4 ways, for example, as 511616895076 + 800604405225 = 715274^2 + 894765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312221300301 - 23 = 1312221300293 is a prime.

It is a super-3 number, since 3×13122213003013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312221300307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160140070 + ... + 160148263.

It is an arithmetic number, because the mean of its divisors is an integer number (174396997863).

Almost surely, 21312221300301 is an apocalyptic number.

It is an amenable number.

1312221300301 is a deficient number, since it is larger than the sum of its proper divisors (82954682603).

1312221300301 is a wasteful number, since it uses less digits than its factorization.

1312221300301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320288591.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1312221300301 its reverse (1030031222131), we get a palindrome (2342252522432).

The spelling of 1312221300301 in words is "one trillion, three hundred twelve billion, two hundred twenty-one million, three hundred thousand, three hundred one".

Divisors: 1 17 241 4097 320288333 5444901661 77189488253 1312221300301