Search a number
-
+
10211300129 is a prime number
BaseRepresentation
bin10011000001010010…
…00001001100100001
3222100122100210102002
421200221001030201
5131403043101004
64405131333345
7511021422212
oct114051011441
928318323362
1010211300129
114370015a18
121b8b8b1255
13c69700034
146cc247409
153eb6ea61e
hex260a41321

10211300129 has 2 divisors, whose sum is σ = 10211300130. Its totient is φ = 10211300128.

The previous prime is 10211300111. The next prime is 10211300191. The reversal of 10211300129 is 92100311201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8261901025 + 1949399104 = 90895^2 + 44152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211300129 - 224 = 10194522913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10211300129.

It is not a weakly prime, because it can be changed into another prime (10211300329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105650064 + 5105650065.

It is an arithmetic number, because the mean of its divisors is an integer number (5105650065).

Almost surely, 210211300129 is an apocalyptic number.

It is an amenable number.

10211300129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211300129 is an equidigital number, since it uses as much as digits as its factorization.

10211300129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10211300129 in words is "ten billion, two hundred eleven million, three hundred thousand, one hundred twenty-nine".