Search a number
-
+
211221111253 is a prime number
BaseRepresentation
bin1100010010110111000…
…0100110000111010101
3202012012100210012100111
43010231300212013111
511430040101030003
6241011133243021
721155153552035
oct3045560460725
9665170705314
10211221111253
118163a8a1169
1234b29633471
1316bc1cb2c89
14a31a4ab8c5
15576363ce6d
hex312dc261d5

211221111253 has 2 divisors, whose sum is σ = 211221111254. Its totient is φ = 211221111252.

The previous prime is 211221111217. The next prime is 211221111263. The reversal of 211221111253 is 352111122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131164935889 + 80056175364 = 362167^2 + 282942^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211221111253 is a prime.

It is a super-2 number, since 2×2112211112532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221111263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610555626 + 105610555627.

It is an arithmetic number, because the mean of its divisors is an integer number (105610555627).

Almost surely, 2211221111253 is an apocalyptic number.

It is an amenable number.

211221111253 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221111253 is an equidigital number, since it uses as much as digits as its factorization.

211221111253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 240, while the sum is 22.

Adding to 211221111253 its reverse (352111122112), we get a palindrome (563332233365).

The spelling of 211221111253 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, two hundred fifty-three".