Search a number
-
+
10222211101213 is a prime number
BaseRepresentation
bin1001010011000000101101…
…0000101111001000011101
31100012020022110121210020001
42110300023100233020131
52314440042020214323
633424004032054301
72103346630501366
oct224601320571035
940166273553201
1010222211101213
113291240746311
121191171994391
13591c47c6c827
14274a87022b6d
1512ad832e43ad
hex94c0b42f21d

10222211101213 has 2 divisors, whose sum is σ = 10222211101214. Its totient is φ = 10222211101212.

The previous prime is 10222211101189. The next prime is 10222211101279. The reversal of 10222211101213 is 31210111222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6099902160804 + 4122308940409 = 2469798^2 + 2030347^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222211101213 - 221 = 10222209004061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222211104213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111105550606 + 5111105550607.

It is an arithmetic number, because the mean of its divisors is an integer number (5111105550607).

Almost surely, 210222211101213 is an apocalyptic number.

It is an amenable number.

10222211101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222211101213 is an equidigital number, since it uses as much as digits as its factorization.

10222211101213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10222211101213 its reverse (31210111222201), we get a palindrome (41432322323414).

The spelling of 10222211101213 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred one thousand, two hundred thirteen".