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109400618401 is a prime number
BaseRepresentation
bin110010111100011001…
…0001111010110100001
3101110101022120020101121
41211320302033112201
53243023024242101
6122131414532241
710622022625144
oct1457062172641
9343338506347
10109400618401
114243a884918
1219252067081
13a416289939
14541b75c05b
152ca469d0a1
hex1978c8f5a1

109400618401 has 2 divisors, whose sum is σ = 109400618402. Its totient is φ = 109400618400.

The previous prime is 109400618399. The next prime is 109400618461. The reversal of 109400618401 is 104816004901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74446576801 + 34954041600 = 272849^2 + 186960^2 .

It is an emirp because it is prime and its reverse (104816004901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 109400618401 - 21 = 109400618399 is a prime.

Together with 109400618399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (109400618461) 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, 54700309200 + 54700309201.

It is an arithmetic number, because the mean of its divisors is an integer number (54700309201).

Almost surely, 2109400618401 is an apocalyptic number.

It is an amenable number.

109400618401 is a deficient number, since it is larger than the sum of its proper divisors (1).

109400618401 is an equidigital number, since it uses as much as digits as its factorization.

109400618401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 109400618401 in words is "one hundred nine billion, four hundred million, six hundred eighteen thousand, four hundred one".