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10203133313101 = 1919914511859771
BaseRepresentation
bin1001010001111001101000…
…1000110000000001001101
31100010102001220101201212011
42110132122020300001031
52314132004112004401
633411131004541221
72102103104124031
oct224363210600115
940112056351764
1010203133313101
11328414083a783
121189528851811
135901c7667701
14273b973da1c1
1512a6184e1451
hex9479a23004d

10203133313101 has 16 divisors (see below), whose sum is σ = 10801555776000. Its totient is φ = 9610919406000.

The previous prime is 10203133313099. The next prime is 10203133313137. The reversal of 10203133313101 is 10131333130201.

It is a cyclic number.

It is not a de Polignac number, because 10203133313101 - 21 = 10203133313099 is a prime.

It is a super-2 number, since 2×102031333131012 (a number of 27 digits) contains 22 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 (10203133313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4556346 + ... + 6416116.

It is an arithmetic number, because the mean of its divisors is an integer number (675097236000).

Almost surely, 210203133313101 is an apocalyptic number.

It is an amenable number.

10203133313101 is a deficient number, since it is larger than the sum of its proper divisors (598422462899).

10203133313101 is a wasteful number, since it uses less digits than its factorization.

10203133313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861440.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10203133313101 its reverse (10131333130201), we get a palindrome (20334466443302).

The spelling of 10203133313101 in words is "ten trillion, two hundred three billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred one".

Divisors: 1 19 199 1451 3781 27569 288749 1859771 5486231 35335649 370094429 2698527721 7031794151 51272026699 537007016479 10203133313101