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107666121413 is a prime number
BaseRepresentation
bin110010001000101100…
…1101010001011000101
3101021220102210122211102
41210101121222023011
53231000011341123
6121243334345445
710531031634464
oct1442131521305
9337812718742
10107666121413
114172a79a634
1218a491bb285
13a1cab22566
1452d52569db
152c02283028
hex191166a2c5

107666121413 has 2 divisors, whose sum is σ = 107666121414. Its totient is φ = 107666121412.

The previous prime is 107666121391. The next prime is 107666121457. The reversal of 107666121413 is 314121666701.

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., 63686579044 + 43979542369 = 252362^2 + 209713^2 .

It is an emirp because it is prime and its reverse (314121666701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107666121413 - 218 = 107665859269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107666021413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53833060706 + 53833060707.

It is an arithmetic number, because the mean of its divisors is an integer number (53833060707).

Almost surely, 2107666121413 is an apocalyptic number.

It is an amenable number.

107666121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

107666121413 is an equidigital number, since it uses as much as digits as its factorization.

107666121413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 107666121413 in words is "one hundred seven billion, six hundred sixty-six million, one hundred twenty-one thousand, four hundred thirteen".