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10333142221 = 291932936301
BaseRepresentation
bin10011001111110011…
…10011110011001101
3222200010122000100011
421213321303303031
5132130241022341
64425203033221
7514031155033
oct114771636315
928603560304
1010333142221
114422875766
12200466b811
13c88a2054c
147004c2553
15407266b81
hex267e73ccd

10333142221 has 16 divisors (see below), whose sum is σ = 10783226160. Its totient is φ = 9889689600.

The previous prime is 10333142167. The next prime is 10333142227. The reversal of 10333142221 is 12224133301.

It can be written as a sum of positive squares in 8 ways, for example, as 454968900 + 9878173321 = 21330^2 + 99389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333142221 - 233 = 1743207629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10333142192 and 10333142201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333142227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636771 + ... + 1643071.

It is an arithmetic number, because the mean of its divisors is an integer number (673951635).

Almost surely, 210333142221 is an apocalyptic number.

It is an amenable number.

10333142221 is a deficient number, since it is larger than the sum of its proper divisors (450083939).

10333142221 is a wasteful number, since it uses less digits than its factorization.

10333142221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10333142221 its reverse (12224133301), we get a palindrome (22557275522).

The spelling of 10333142221 in words is "ten billion, three hundred thirty-three million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 29 193 293 5597 6301 8497 56549 182729 1216093 1639921 1846193 35266697 53539597 356315249 10333142221