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105046311521 is a prime number
BaseRepresentation
bin110000111010100111…
…1111000001001100001
3101001010212011112021102
41201311033320021201
53210113323432041
6120131351004145
710406100625664
oct1416517701141
9331125145242
10105046311521
11406059a4698
1218437969655
139ba11348a8
1451273396db
152aec28d09b
hex18753f8261

105046311521 has 2 divisors, whose sum is σ = 105046311522. Its totient is φ = 105046311520.

The previous prime is 105046311493. The next prime is 105046311529. The reversal of 105046311521 is 125113640501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102953706496 + 2092605025 = 320864^2 + 45745^2 .

It is a cyclic number.

It is not a de Polignac number, because 105046311521 - 26 = 105046311457 is a prime.

It is a super-2 number, since 2×1050463115212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105046311529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52523155760 + 52523155761.

It is an arithmetic number, because the mean of its divisors is an integer number (52523155761).

Almost surely, 2105046311521 is an apocalyptic number.

It is an amenable number.

105046311521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105046311521 is an equidigital number, since it uses as much as digits as its factorization.

105046311521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 105046311521 in words is "one hundred five billion, forty-six million, three hundred eleven thousand, five hundred twenty-one".