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10206440414333 is a prime number
BaseRepresentation
bin1001010010000101111101…
…0000010101110001111101
31100010201121101021212212222
42110201133100111301331
52314210242221224313
633412435103335125
72102251052043422
oct224413720256175
940121541255788
1010206440414333
113285588594899
12118a0b02b14a5
13590603865047
14273dcc703d49
1512a75d9e8208
hex9485f415c7d

10206440414333 has 2 divisors, whose sum is σ = 10206440414334. Its totient is φ = 10206440414332.

The previous prime is 10206440414327. The next prime is 10206440414353. The reversal of 10206440414333 is 33341404460201.

It is a happy number.

10206440414333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8868376792324 + 1338063622009 = 2977982^2 + 1156747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10206440414333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10206440414293 and 10206440414302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10206440414353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103220207166 + 5103220207167.

It is an arithmetic number, because the mean of its divisors is an integer number (5103220207167).

Almost surely, 210206440414333 is an apocalyptic number.

It is an amenable number.

10206440414333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206440414333 is an equidigital number, since it uses as much as digits as its factorization.

10206440414333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 10206440414333 its reverse (33341404460201), we get a palindrome (43547844874534).

The spelling of 10206440414333 in words is "ten trillion, two hundred six billion, four hundred forty million, four hundred fourteen thousand, three hundred thirty-three".