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107381216801 is a prime number
BaseRepresentation
bin110010000000001101…
…0110101011000100001
3101021011120201000011202
41210000122311120201
53224404042414201
6121155200050545
710521002166005
oct1440032653041
9337146630152
10107381216801
11415a3996581
1218989903a55
13a183aab651
1452a9492705
152bd7256c6b
hex19006b5621

107381216801 has 2 divisors, whose sum is σ = 107381216802. Its totient is φ = 107381216800.

The previous prime is 107381216797. The next prime is 107381216807. The reversal of 107381216801 is 108612183701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107027776801 + 353440000 = 327151^2 + 18800^2 .

It is a cyclic number.

It is not a de Polignac number, because 107381216801 - 22 = 107381216797 is a prime.

It is not a weakly prime, because it can be changed into another prime (107381216807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53690608400 + 53690608401.

It is an arithmetic number, because the mean of its divisors is an integer number (53690608401).

Almost surely, 2107381216801 is an apocalyptic number.

It is an amenable number.

107381216801 is a deficient number, since it is larger than the sum of its proper divisors (1).

107381216801 is an equidigital number, since it uses as much as digits as its factorization.

107381216801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 107381216801 in words is "one hundred seven billion, three hundred eighty-one million, two hundred sixteen thousand, eight hundred one".