Search a number
-
+
2122100020169 is a prime number
BaseRepresentation
bin11110111000010111000…
…001001001001111001001
321111212111210120112120022
4132320113001021033021
5234232030101121134
64302513532110225
7306213421360163
oct36702701111711
97455453515508
102122100020169
11748a83158168
122a333b005375
1312516184580c
14749d2a89933
153a30250152e
hex1ee170493c9

2122100020169 has 2 divisors, whose sum is σ = 2122100020170. Its totient is φ = 2122100020168.

The previous prime is 2122100020121. The next prime is 2122100020207. The reversal of 2122100020169 is 9610200012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2035863824569 + 86236195600 = 1426837^2 + 293660^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122100020169 - 216 = 2122099954633 is a prime.

It is a super-2 number, since 2×21221000201692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2122100029169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050010084 + 1061050010085.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050010085).

Almost surely, 22122100020169 is an apocalyptic number.

It is an amenable number.

2122100020169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122100020169 is an equidigital number, since it uses as much as digits as its factorization.

2122100020169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2122100020169 in words is "two trillion, one hundred twenty-two billion, one hundred million, twenty thousand, one hundred sixty-nine".