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10213031302133 = 112292910524737
BaseRepresentation
bin1001010010011110100000…
…0110100101001111110101
31100011100121201012200020112
42110213220012211033311
52314312242003132013
633415445105112405
72102603302466642
oct224475006451765
940140551180215
1010213031302133
11328835aa0a400
12118b42b628705
13591114188c5a
14274455ba6dc9
1512a9e744dba8
hex949e81a53f5

10213031302133 has 12 divisors (see below), whose sum is σ = 11612993704620. Its totient is φ = 8964416186880.

The previous prime is 10213031302127. The next prime is 10213031302153. The reversal of 10213031302133 is 33120313031201.

10213031302133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7672584223249 + 2540447078884 = 2769943^2 + 1593878^2 .

It is not a de Polignac number, because 10213031302133 - 220 = 10213030253557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213031302099 and 10213031302108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213031302153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455258860 + ... + 1455265877.

It is an arithmetic number, because the mean of its divisors is an integer number (967749475385).

Almost surely, 210213031302133 is an apocalyptic number.

It is an amenable number.

10213031302133 is a deficient number, since it is larger than the sum of its proper divisors (1399962402487).

10213031302133 is a wasteful number, since it uses less digits than its factorization.

10213031302133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910524788 (or 2910524777 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10213031302133 its reverse (33120313031201), we get a palindrome (43333344333334).

The spelling of 10213031302133 in words is "ten trillion, two hundred thirteen billion, thirty-one million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 11 29 121 319 3509 2910524737 32015772107 84405217373 352173493177 928457391103 10213031302133