Search a number
-
+
105053126653 is a prime number
BaseRepresentation
bin110000111010110100…
…1110111111111111101
3101001011022222202212201
41201311221313333331
53210122100023103
6120132153031501
710406212562116
oct1416551677775
9331138882781
10105053126653
1140609829a32
121843a0b5591
139ba267c907
1451281d120d
152aecb8751d
hex1875a77ffd

105053126653 has 2 divisors, whose sum is σ = 105053126654. Its totient is φ = 105053126652.

The previous prime is 105053126639. The next prime is 105053126663. The reversal of 105053126653 is 356621350501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70799630724 + 34253495929 = 266082^2 + 185077^2 .

It is a cyclic number.

It is not a de Polignac number, because 105053126653 - 213 = 105053118461 is a prime.

It is a super-2 number, since 2×1050531266532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105053126663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52526563326 + 52526563327.

It is an arithmetic number, because the mean of its divisors is an integer number (52526563327).

Almost surely, 2105053126653 is an apocalyptic number.

It is an amenable number.

105053126653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105053126653 is an equidigital number, since it uses as much as digits as its factorization.

105053126653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 105053126653 in words is "one hundred five billion, fifty-three million, one hundred twenty-six thousand, six hundred fifty-three".