Search a number
-
+
105340556533 is a prime number
BaseRepresentation
bin110001000011011001…
…0010101010011110101
3101001220100211201112211
41202012302111103311
53211214140302113
6120220501413421
710416302646112
oct1420662252365
9331810751484
10105340556533
1140746aa8293
12184ba40a271
139c1a099074
145154451909
152b18011b3d
hex1886c954f5

105340556533 has 2 divisors, whose sum is σ = 105340556534. Its totient is φ = 105340556532.

The previous prime is 105340556339. The next prime is 105340556567. The reversal of 105340556533 is 335655043501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61348849969 + 43991706564 = 247687^2 + 209742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105340556533 is a prime.

It is a super-2 number, since 2×1053405565332 (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 (105340557533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52670278266 + 52670278267.

It is an arithmetic number, because the mean of its divisors is an integer number (52670278267).

Almost surely, 2105340556533 is an apocalyptic number.

It is an amenable number.

105340556533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105340556533 is an equidigital number, since it uses as much as digits as its factorization.

105340556533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405000, while the sum is 40.

The spelling of 105340556533 in words is "one hundred five billion, three hundred forty million, five hundred fifty-six thousand, five hundred thirty-three".