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105031488073 is a prime number
BaseRepresentation
bin110000111010001011…
…1010101001001001001
3101001002211021102022211
41201310113111021021
53210101030104243
6120130101145121
710405530626641
oct1416427251111
9331084242284
10105031488073
11405a859a606
12184329bb1a1
139b9b044715
14512539b521
152aead10d9d
hex18745d5249

105031488073 has 2 divisors, whose sum is σ = 105031488074. Its totient is φ = 105031488072.

The previous prime is 105031488049. The next prime is 105031488091. The reversal of 105031488073 is 370884130501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56231585424 + 48799902649 = 237132^2 + 220907^2 .

It is an emirp because it is prime and its reverse (370884130501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105031488073 - 25 = 105031488041 is a prime.

It is a super-2 number, since 2×1050314880732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105031788073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52515744036 + 52515744037.

It is an arithmetic number, because the mean of its divisors is an integer number (52515744037).

Almost surely, 2105031488073 is an apocalyptic number.

It is an amenable number.

105031488073 is a deficient number, since it is larger than the sum of its proper divisors (1).

105031488073 is an equidigital number, since it uses as much as digits as its factorization.

105031488073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 105031488073 in words is "one hundred five billion, thirty-one million, four hundred eighty-eight thousand, seventy-three".