Search a number
-
+
20210100202129 is a prime number
BaseRepresentation
bin1001001100001100001111…
…10101111110101010010001
32122120001210122001121202111
410212012013311332222101
510122110241122432004
6110552220350345321
74154063060204215
oct446060765765221
978501718047674
1020210100202129
116492067762622
122324a297bb241
13b37a5bca4b76
144dc261906945
15250a9edaca04
hex126187d7ea91

20210100202129 has 2 divisors, whose sum is σ = 20210100202130. Its totient is φ = 20210100202128.

The previous prime is 20210100202063. The next prime is 20210100202223. The reversal of 20210100202129 is 92120200101202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12054089610000 + 8156010592129 = 3471900^2 + 2855873^2 .

It is a cyclic number.

It is not a de Polignac number, because 20210100202129 - 213 = 20210100193937 is a prime.

It is a super-2 number, since 2×202101002021292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20210100202429) 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, 10105050101064 + 10105050101065.

It is an arithmetic number, because the mean of its divisors is an integer number (10105050101065).

Almost surely, 220210100202129 is an apocalyptic number.

It is an amenable number.

20210100202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20210100202129 is an equidigital number, since it uses as much as digits as its factorization.

20210100202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 20210100202129 in words is "twenty trillion, two hundred ten billion, one hundred million, two hundred two thousand, one hundred twenty-nine".