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210222021002141 is a prime number
BaseRepresentation
bin101111110011001000100000…
…111000101100001110011101
31000120100000210002112210220002
4233303020200320230032131
5210023234144334032031
62023034355131104045
762165016440236421
oct5763104070541635
91016300702483802
10210222021002141
1160a8a727419395
121b6b25295a2025
13903bb0ba2cb45
1439cab2b6c0b81
151948555832ccb
hexbf3220e2c39d

210222021002141 has 2 divisors, whose sum is σ = 210222021002142. Its totient is φ = 210222021002140.

The previous prime is 210222021002083. The next prime is 210222021002239. The reversal of 210222021002141 is 141200120222012.

It is a happy number.

210222021002141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160720172582116 + 49501848420025 = 12677546^2 + 7035755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210222021002141 is a prime.

It is a super-3 number, since 3×2102220210021413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210222021001141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105111010501070 + 105111010501071.

It is an arithmetic number, because the mean of its divisors is an integer number (105111010501071).

Almost surely, 2210222021002141 is an apocalyptic number.

It is an amenable number.

210222021002141 is a deficient number, since it is larger than the sum of its proper divisors (1).

210222021002141 is an equidigital number, since it uses as much as digits as its factorization.

210222021002141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 210222021002141 its reverse (141200120222012), we get a palindrome (351422141224153).

The spelling of 210222021002141 in words is "two hundred ten trillion, two hundred twenty-two billion, twenty-one million, two thousand, one hundred forty-one".