Search a number
-
+
106801455301 is a prime number
BaseRepresentation
bin110001101110111011…
…1001110000011000101
3101012200011210001220121
41203131313032003011
53222212133032201
6121021445501541
710500432251152
oct1433567160305
9335604701817
10106801455301
1141326701142
12188477118b1
13a0c094a8c8
145252497229
152ba13d59a1
hex18dddce0c5

106801455301 has 2 divisors, whose sum is σ = 106801455302. Its totient is φ = 106801455300.

The previous prime is 106801455289. The next prime is 106801455361. The reversal of 106801455301 is 103554108601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96317743201 + 10483712100 = 310351^2 + 102390^2 .

It is a cyclic number.

It is not a de Polignac number, because 106801455301 - 223 = 106793066693 is a prime.

It is a super-2 number, since 2×1068014553012 (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 (106801455361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53400727650 + 53400727651.

It is an arithmetic number, because the mean of its divisors is an integer number (53400727651).

Almost surely, 2106801455301 is an apocalyptic number.

It is an amenable number.

106801455301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106801455301 is an equidigital number, since it uses as much as digits as its factorization.

106801455301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 106801455301 in words is "one hundred six billion, eight hundred one million, four hundred fifty-five thousand, three hundred one".