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103334332993 is a prime number
BaseRepresentation
bin110000000111100110…
…1001100101001000001
3100212201112210000020021
41200033031030221001
53143112042123433
6115245433213441
710315502223643
oct1401715145101
9325645700207
10103334332993
113a90759a901
121803a561281
13998a553048
145003c16893
152a4bd2022d
hex180f34ca41

103334332993 has 2 divisors, whose sum is σ = 103334332994. Its totient is φ = 103334332992.

The previous prime is 103334332991. The next prime is 103334333021. The reversal of 103334332993 is 399233433301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102187630224 + 1146702769 = 319668^2 + 33863^2 .

It is a cyclic number.

It is not a de Polignac number, because 103334332993 - 21 = 103334332991 is a prime.

Together with 103334332991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103334332991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51667166496 + 51667166497.

It is an arithmetic number, because the mean of its divisors is an integer number (51667166497).

Almost surely, 2103334332993 is an apocalyptic number.

It is an amenable number.

103334332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103334332993 is an equidigital number, since it uses as much as digits as its factorization.

103334332993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 472392, while the sum is 43.

The spelling of 103334332993 in words is "one hundred three billion, three hundred thirty-four million, three hundred thirty-two thousand, nine hundred ninety-three".