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10203222000113 = 2311323330195581
BaseRepresentation
bin1001010001111001111101…
…1011000100000111110001
31100010102022002021111120022
42110132133123010013301
52314132144313000423
633411143453453225
72102105232010532
oct224363733040761
940112262244508
1010203222000113
11328418690462a
1211895524a1215
1359020cb49b2c
14273ba50c4689
1512a6211addc8
hex9479f6c41f1

10203222000113 has 32 divisors (see below), whose sum is σ = 10792665711360. Its totient is φ = 9626803845120.

The previous prime is 10203222000061. The next prime is 10203222000133. The reversal of 10203222000113 is 31100022230201.

It is a cyclic number.

It is not a de Polignac number, because 10203222000113 - 238 = 9928344093169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10203222000091 and 10203222000100.

It is not an unprimeable number, because it can be changed into a prime (10203222000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1828203983 + ... + 1828209563.

It is an arithmetic number, because the mean of its divisors is an integer number (337270803480).

Almost surely, 210203222000113 is an apocalyptic number.

It is an amenable number.

10203222000113 is a deficient number, since it is larger than the sum of its proper divisors (589443711247).

10203222000113 is a wasteful number, since it uses less digits than its factorization.

10203222000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10203222000113 its reverse (31100022230201), we get a palindrome (41303244230314).

The spelling of 10203222000113 in words is "ten trillion, two hundred three billion, two hundred twenty-two million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 23 113 233 2599 3019 5359 5581 26329 69437 128363 341147 605567 630653 703427 1300373 7846381 14505019 16178821 16849039 29908579 79487251 146942149 387527897 1828206773 1903941407 3379669427 3925826087 43790652361 90294000001 443618347831 10203222000113