Search a number
-
+
2102012212189 is a prime number
BaseRepresentation
bin11110100101101001101…
…100001111001111011101
321102221122211211011102011
4132211221230033033131
5233414410111242224
64245352344431221
7304602552000301
oct36455154171735
97387584734364
102102012212189
1174050510476a
1229b473778511
131232acc058c6
1473a48c67d01
1539a28bdd394
hex1e969b0f3dd

2102012212189 has 2 divisors, whose sum is σ = 2102012212190. Its totient is φ = 2102012212188.

The previous prime is 2102012212171. The next prime is 2102012212241. The reversal of 2102012212189 is 9812122102012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1436617988100 + 665394224089 = 1198590^2 + 815717^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102012212189 - 219 = 2102011687901 is a prime.

It is a super-3 number, since 3×21020122121893 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102012212189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102012212789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051006106094 + 1051006106095.

It is an arithmetic number, because the mean of its divisors is an integer number (1051006106095).

Almost surely, 22102012212189 is an apocalyptic number.

It is an amenable number.

2102012212189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102012212189 is an equidigital number, since it uses as much as digits as its factorization.

2102012212189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 2102012212189 in words is "two trillion, one hundred two billion, twelve million, two hundred twelve thousand, one hundred eighty-nine".