Search a number
-
+
10333135289 is a prime number
BaseRepresentation
bin10011001111110011…
…10010000110111001
3222200010121122211102
421213321302012321
5132130240312124
64425202541145
7514031125601
oct114771620671
928603548742
1010333135289
114422870534
1220046677b5
13c88a1a349
147004bdc01
15407264aae
hex267e721b9

10333135289 has 2 divisors, whose sum is σ = 10333135290. Its totient is φ = 10333135288.

The previous prime is 10333135277. The next prime is 10333135349. The reversal of 10333135289 is 98253133301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10159027264 + 174108025 = 100792^2 + 13195^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333135289 - 228 = 10064699833 is a prime.

It is a super-2 number, since 2×103331352892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10333135489) 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 as a sum of consecutive naturals, namely, 5166567644 + 5166567645.

It is an arithmetic number, because the mean of its divisors is an integer number (5166567645).

Almost surely, 210333135289 is an apocalyptic number.

It is an amenable number.

10333135289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333135289 is an equidigital number, since it uses as much as digits as its factorization.

10333135289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 10333135289 in words is "ten billion, three hundred thirty-three million, one hundred thirty-five thousand, two hundred eighty-nine".