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10214420333 = 132556910853
BaseRepresentation
bin10011000001101001…
…11010111101101101
3222100212020022112012
421200310322331231
5131404342422313
64405322251005
7511060066055
oct114064727555
928325208465
1010214420333
1143718571a7
121b90956a65
13c6a253300
146cc81a565
153ebb14da8
hex260d3af6d

10214420333 has 12 divisors (see below), whose sum is σ = 11063590740. Its totient is φ = 9426134016.

The previous prime is 10214420327. The next prime is 10214420341. The reversal of 10214420333 is 33302441201.

It can be written as a sum of positive squares in 6 ways, for example, as 2738742889 + 7475677444 = 52333^2 + 86462^2 .

It is not a de Polignac number, because 10214420333 - 24 = 10214420317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10214420299 and 10214420308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214420353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935735 + ... + 946587.

It is an arithmetic number, because the mean of its divisors is an integer number (921965895).

Almost surely, 210214420333 is an apocalyptic number.

10214420333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10214420333 is a deficient number, since it is larger than the sum of its proper divisors (849170407).

10214420333 is a wasteful number, since it uses less digits than its factorization.

10214420333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16435 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10214420333 its reverse (33302441201), we get a palindrome (43516861534).

The spelling of 10214420333 in words is "ten billion, two hundred fourteen million, four hundred twenty thousand, three hundred thirty-three".

Divisors: 1 13 169 5569 10853 72397 141089 941161 1834157 60440357 785724641 10214420333