Search a number
-
+
100105056060029 is a prime number
BaseRepresentation
bin10110110000101110000110…
…010011101000001001111101
3111010102221122110211022222222
4112300232012103220021331
5101110110123322410104
6552523343342415125
730041231416002446
oct2660560623501175
9433387573738888
10100105056060029
1129995352459a89
12b2890448914a5
1343b1b352b1a87
141aa11795682cd
15b88e678361be
hex5b0b864e827d

100105056060029 has 2 divisors, whose sum is σ = 100105056060030. Its totient is φ = 100105056060028.

The previous prime is 100105056060017. The next prime is 100105056060101. The reversal of 100105056060029 is 920060650501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51187299520900 + 48917756539129 = 7154530^2 + 6994123^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105056060029 - 24 = 100105056060013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105056063029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052528030014 + 50052528030015.

It is an arithmetic number, because the mean of its divisors is an integer number (50052528030015).

Almost surely, 2100105056060029 is an apocalyptic number.

It is an amenable number.

100105056060029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105056060029 is an equidigital number, since it uses as much as digits as its factorization.

100105056060029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 100105056060029 in words is "one hundred trillion, one hundred five billion, fifty-six million, sixty thousand, twenty-nine".