Search a number
-
+
21000120212129 is a prime number
BaseRepresentation
bin1001100011001011110001…
…01101001001101010100001
32202100120222111002100011212
410301211320231021222201
510223031221233242004
6112355153321115505
74265131361404412
oct461457055115241
982316874070155
1021000120212129
11676711242a0a3
122431b69928b95
13b943c244bbc6
145285a8637809
152663dbe4596e
hex131978b49aa1

21000120212129 has 2 divisors, whose sum is σ = 21000120212130. Its totient is φ = 21000120212128.

The previous prime is 21000120212111. The next prime is 21000120212161. The reversal of 21000120212129 is 92121202100012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18076782822400 + 2923337389729 = 4251680^2 + 1709777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21000120212129 is a prime.

It is not a weakly prime, because it can be changed into another prime (21000120212179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500060106064 + 10500060106065.

It is an arithmetic number, because the mean of its divisors is an integer number (10500060106065).

Almost surely, 221000120212129 is an apocalyptic number.

It is an amenable number.

21000120212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000120212129 is an equidigital number, since it uses as much as digits as its factorization.

21000120212129 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 23.

The spelling of 21000120212129 in words is "twenty-one trillion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-nine".