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10344351343001 = 131050175775577
BaseRepresentation
bin1001011010000111101101…
…1000110010000110011001
31100121220120122000221111212
42112201323120302012121
52323440212420434001
634000043541232505
72115232445433644
oct226417330620631
940556518027455
1010344351343001
1133290187247a5
1211b097a402735
135a0611694650
1427a9526cca5b
1512e1311107bb
hex9687b632199

10344351343001 has 8 divisors (see below), whose sum is σ = 11141131682184. Its totient is φ = 9547722576000.

The previous prime is 10344351342971. The next prime is 10344351343013. The reversal of 10344351343001 is 10034315344301.

It can be written as a sum of positive squares in 4 ways, for example, as 494947425625 + 9849403917376 = 703525^2 + 3138376^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10344351343001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10344351343091) 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, 37751276 + ... + 38024301.

It is an arithmetic number, because the mean of its divisors is an integer number (1392641460273).

Almost surely, 210344351343001 is an apocalyptic number.

It is an amenable number.

10344351343001 is a deficient number, since it is larger than the sum of its proper divisors (796780339183).

10344351343001 is a wasteful number, since it uses less digits than its factorization.

10344351343001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75786091.

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 10344351343001 its reverse (10034315344301), we get a palindrome (20378666687302).

The spelling of 10344351343001 in words is "ten trillion, three hundred forty-four billion, three hundred fifty-one million, three hundred forty-three thousand, one".

Divisors: 1 13 10501 136513 75775577 985082501 795719334077 10344351343001