Search a number
-
+
10222220341 is a prime number
BaseRepresentation
bin10011000010100101…
…01011010000110101
3222101101220121010101
421201102223100311
5131413342022331
64410201354101
7511213303444
oct114122532065
928341817111
1010222220341
1143761a4493
121b93498931
13c6ba546b8
146cd88ad5b
153ec656061
hex2614ab435

10222220341 has 2 divisors, whose sum is σ = 10222220342. Its totient is φ = 10222220340.

The previous prime is 10222220317. The next prime is 10222220387. The reversal of 10222220341 is 14302222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9854731441 + 367488900 = 99271^2 + 19170^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222220341 - 29 = 10222219829 is a prime.

It is a super-3 number, since 3×102222203413 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222220741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111110170 + 5111110171.

It is an arithmetic number, because the mean of its divisors is an integer number (5111110171).

Almost surely, 210222220341 is an apocalyptic number.

It is an amenable number.

10222220341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222220341 is an equidigital number, since it uses as much as digits as its factorization.

10222220341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10222220341 its reverse (14302222201), we get a palindrome (24524442542).

The spelling of 10222220341 in words is "ten billion, two hundred twenty-two million, two hundred twenty thousand, three hundred forty-one".