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106480507993 is a prime number
BaseRepresentation
bin110001100101010111…
…0111001110001011001
3101011211210212020222021
41203022232321301121
53221033002223433
6120525542454441
710456454245546
oct1431256716131
9334753766867
10106480507993
114118151a732
1218778134421
13a06c2c7462
1452219cdbcd
152b8313a22d
hex18cabb9c59

106480507993 has 2 divisors, whose sum is σ = 106480507994. Its totient is φ = 106480507992.

The previous prime is 106480507943. The next prime is 106480508003. The reversal of 106480507993 is 399705084601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87395914384 + 19084593609 = 295628^2 + 138147^2 .

It is an emirp because it is prime and its reverse (399705084601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106480507993 is a prime.

It is a super-2 number, since 2×1064805079932 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106480507993.

It is not a weakly prime, because it can be changed into another prime (106480507933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53240253996 + 53240253997.

It is an arithmetic number, because the mean of its divisors is an integer number (53240253997).

Almost surely, 2106480507993 is an apocalyptic number.

It is an amenable number.

106480507993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106480507993 is an equidigital number, since it uses as much as digits as its factorization.

106480507993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 106480507993 in words is "one hundred six billion, four hundred eighty million, five hundred seven thousand, nine hundred ninety-three".