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1310343221 = 111729475397
BaseRepresentation
bin100111000011010…
…0100000000110101
310101022122022222102
41032012210000311
510140421440341
6334005111445
744320506425
oct11606440065
93338568872
101310343221
11612722290
123069b8585
1317b619b25
14c6054485
157a084c9b
hex4e1a4035

1310343221 has 64 divisors (see below), whose sum is σ = 1646023680. Its totient is φ = 1028751360.

The previous prime is 1310343169. The next prime is 1310343239. The reversal of 1310343221 is 1223430131.

It is a cyclic number.

It is not a de Polignac number, because 1310343221 - 214 = 1310326837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310343193 and 1310343202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310343121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13508645 + ... + 13508741.

It is an arithmetic number, because the mean of its divisors is an integer number (25719120).

Almost surely, 21310343221 is an apocalyptic number.

1310343221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310343221 is a deficient number, since it is larger than the sum of its proper divisors (335680459).

1310343221 is a wasteful number, since it uses less digits than its factorization.

1310343221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1310343221 is about 36198.6632487997. The cubic root of 1310343221 is about 1094.2797320495.

Adding to 1310343221 its reverse (1223430131), we get a palindrome (2533773352).

The spelling of 1310343221 in words is "one billion, three hundred ten million, three hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 11 17 29 47 53 97 187 319 493 517 583 799 901 1067 1363 1537 1649 2491 2813 4559 5141 5423 8789 9911 14993 16907 18139 23171 26129 27401 30943 42347 47821 50149 56551 72239 77503 87397 132211 149089 241627 254881 287419 465817 526031 794629 852533 961367 1228063 1454321 1639979 2247587 2534513 2657897 4107659 7007183 13508693 24723457 27879643 45184249 77079013 119122111 1310343221